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Finding the Third Proportional to 59,958 and 129,521

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Solution

The third proportional to 59,958 and 129,521 is: 279,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,958 : 129,521 = 129,521 : x
  2. Step 2: Convert to fraction form
    59,958/129,521 = 129,521/x
  3. Step 3: Cross multiply
    59,958x = 129,521 × 129,521
  4. Step 4: Simplify right side
    59,958x = 16,775,689,441
  5. Step 5: Solve for x
    x = 16,775,689,441/59,958
  6. Step 6: Final answer
    x = 279,790.68

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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.