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Finding the Third Proportional to 77,431 and 169,616

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Solution

The third proportional to 77,431 and 169,616 is: 371,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,431 : 169,616 = 169,616 : x
  2. Step 2: Convert to fraction form
    77,431/169,616 = 169,616/x
  3. Step 3: Cross multiply
    77,431x = 169,616 × 169,616
  4. Step 4: Simplify right side
    77,431x = 28,769,587,456
  5. Step 5: Solve for x
    x = 28,769,587,456/77,431
  6. Step 6: Final answer
    x = 371,551.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.