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Finding the Third Proportional to 81,566 and 125,411

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Solution

The third proportional to 81,566 and 125,411 is: 192,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,566 : 125,411 = 125,411 : x
  2. Step 2: Convert to fraction form
    81,566/125,411 = 125,411/x
  3. Step 3: Cross multiply
    81,566x = 125,411 × 125,411
  4. Step 4: Simplify right side
    81,566x = 15,727,918,921
  5. Step 5: Solve for x
    x = 15,727,918,921/81,566
  6. Step 6: Final answer
    x = 192,824.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.