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Finding the Third Proportional to 59,680 and 129,000

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Solution

The third proportional to 59,680 and 129,000 is: 278,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,680 : 129,000 = 129,000 : x
  2. Step 2: Convert to fraction form
    59,680/129,000 = 129,000/x
  3. Step 3: Cross multiply
    59,680x = 129,000 × 129,000
  4. Step 4: Simplify right side
    59,680x = 16,641,000,000
  5. Step 5: Solve for x
    x = 16,641,000,000/59,680
  6. Step 6: Final answer
    x = 278,837.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.