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Finding the Third Proportional to 69,432 and 101,552

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Solution

The third proportional to 69,432 and 101,552 is: 148,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,432 : 101,552 = 101,552 : x
  2. Step 2: Convert to fraction form
    69,432/101,552 = 101,552/x
  3. Step 3: Cross multiply
    69,432x = 101,552 × 101,552
  4. Step 4: Simplify right side
    69,432x = 10,312,808,704
  5. Step 5: Solve for x
    x = 10,312,808,704/69,432
  6. Step 6: Final answer
    x = 148,531.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.