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Finding the Third Proportional to 59,965 and 129,001

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Solution

The third proportional to 59,965 and 129,001 is: 277,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,965 : 129,001 = 129,001 : x
  2. Step 2: Convert to fraction form
    59,965/129,001 = 129,001/x
  3. Step 3: Cross multiply
    59,965x = 129,001 × 129,001
  4. Step 4: Simplify right side
    59,965x = 16,641,258,001
  5. Step 5: Solve for x
    x = 16,641,258,001/59,965
  6. Step 6: Final answer
    x = 277,516.18

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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.