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Finding the Third Proportional to 78,627 and 169,769

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Solution

The third proportional to 78,627 and 169,769 is: 366,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,627 : 169,769 = 169,769 : x
  2. Step 2: Convert to fraction form
    78,627/169,769 = 169,769/x
  3. Step 3: Cross multiply
    78,627x = 169,769 × 169,769
  4. Step 4: Simplify right side
    78,627x = 28,821,513,361
  5. Step 5: Solve for x
    x = 28,821,513,361/78,627
  6. Step 6: Final answer
    x = 366,560.00

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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.