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Finding the Third Proportional to 81,066 and 129,506

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Solution

The third proportional to 81,066 and 129,506 is: 206,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,066 : 129,506 = 129,506 : x
  2. Step 2: Convert to fraction form
    81,066/129,506 = 129,506/x
  3. Step 3: Cross multiply
    81,066x = 129,506 × 129,506
  4. Step 4: Simplify right side
    81,066x = 16,771,804,036
  5. Step 5: Solve for x
    x = 16,771,804,036/81,066
  6. Step 6: Final answer
    x = 206,890.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.