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Finding the Third Proportional to 62,288 and 129,000

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Solution

The third proportional to 62,288 and 129,000 is: 267,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,288 : 129,000 = 129,000 : x
  2. Step 2: Convert to fraction form
    62,288/129,000 = 129,000/x
  3. Step 3: Cross multiply
    62,288x = 129,000 × 129,000
  4. Step 4: Simplify right side
    62,288x = 16,641,000,000
  5. Step 5: Solve for x
    x = 16,641,000,000/62,288
  6. Step 6: Final answer
    x = 267,162.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.