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Finding the Third Proportional to 81,424 and 129,524

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Solution

The third proportional to 81,424 and 129,524 is: 206,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,424 : 129,524 = 129,524 : x
  2. Step 2: Convert to fraction form
    81,424/129,524 = 129,524/x
  3. Step 3: Cross multiply
    81,424x = 129,524 × 129,524
  4. Step 4: Simplify right side
    81,424x = 16,776,466,576
  5. Step 5: Solve for x
    x = 16,776,466,576/81,424
  6. Step 6: Final answer
    x = 206,038.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.