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Finding the Third Proportional to 59,952 and 129,138

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Solution

The third proportional to 59,952 and 129,138 is: 278,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,952 : 129,138 = 129,138 : x
  2. Step 2: Convert to fraction form
    59,952/129,138 = 129,138/x
  3. Step 3: Cross multiply
    59,952x = 129,138 × 129,138
  4. Step 4: Simplify right side
    59,952x = 16,676,623,044
  5. Step 5: Solve for x
    x = 16,676,623,044/59,952
  6. Step 6: Final answer
    x = 278,166.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.