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Finding the Third Proportional to 78,912 and 169,853

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Solution

The third proportional to 78,912 and 169,853 is: 365,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,912 : 169,853 = 169,853 : x
  2. Step 2: Convert to fraction form
    78,912/169,853 = 169,853/x
  3. Step 3: Cross multiply
    78,912x = 169,853 × 169,853
  4. Step 4: Simplify right side
    78,912x = 28,850,041,609
  5. Step 5: Solve for x
    x = 28,850,041,609/78,912
  6. Step 6: Final answer
    x = 365,597.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.