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Finding the Third Proportional to 29,981 and 65,251

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Solution

The third proportional to 29,981 and 65,251 is: 142,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,981 : 65,251 = 65,251 : x
  2. Step 2: Convert to fraction form
    29,981/65,251 = 65,251/x
  3. Step 3: Cross multiply
    29,981x = 65,251 × 65,251
  4. Step 4: Simplify right side
    29,981x = 4,257,693,001
  5. Step 5: Solve for x
    x = 4,257,693,001/29,981
  6. Step 6: Final answer
    x = 142,013.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.