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Finding the Third Proportional to 81,772 and 125,070

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Solution

The third proportional to 81,772 and 125,070 is: 191,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,772 : 125,070 = 125,070 : x
  2. Step 2: Convert to fraction form
    81,772/125,070 = 125,070/x
  3. Step 3: Cross multiply
    81,772x = 125,070 × 125,070
  4. Step 4: Simplify right side
    81,772x = 15,642,504,900
  5. Step 5: Solve for x
    x = 15,642,504,900/81,772
  6. Step 6: Final answer
    x = 191,294.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.