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Finding the Third Proportional to 77,486,166 and 168,592,144.50

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Solution

The third proportional to 77,486,166 and 168,592,144.50 is: 366,817,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486,166 : 168,592,144.50 = 168,592,144.50 : x
  2. Step 2: Convert to fraction form
    77,486,166/168,592,144.50 = 168,592,144.50/x
  3. Step 3: Cross multiply
    77,486,166x = 168,592,144.50 × 168,592,144.50
  4. Step 4: Simplify right side
    77,486,166x = 28,423,311,187,108,880
  5. Step 5: Solve for x
    x = 28,423,311,187,108,880/77,486,166
  6. Step 6: Final answer
    x = 366,817,880.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.