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Finding the Third Proportional to 78,248,841,872.25 and 169,490,995,834.50

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Solution

The third proportional to 78,248,841,872.25 and 169,490,995,834.50 is: 367,126,170,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,248,841,872.25 : 169,490,995,834.50 = 169,490,995,834.50 : x
  2. Step 2: Convert to fraction form
    78,248,841,872.25/169,490,995,834.50 = 169,490,995,834.50/x
  3. Step 3: Cross multiply
    78,248,841,872.25x = 169,490,995,834.50 × 169,490,995,834.50
  4. Step 4: Simplify right side
    78,248,841,872.25x = 28,727,197,668,970,495,737,856
  5. Step 5: Solve for x
    x = 28,727,197,668,970,495,737,856/78,248,841,872.25
  6. Step 6: Final answer
    x = 367,126,170,581.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.