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Finding the Third Proportional to 78,712 and 169,863

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Solution

The third proportional to 78,712 and 169,863 is: 366,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,712 : 169,863 = 169,863 : x
  2. Step 2: Convert to fraction form
    78,712/169,863 = 169,863/x
  3. Step 3: Cross multiply
    78,712x = 169,863 × 169,863
  4. Step 4: Simplify right side
    78,712x = 28,853,438,769
  5. Step 5: Solve for x
    x = 28,853,438,769/78,712
  6. Step 6: Final answer
    x = 366,569.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.