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Finding the Third Proportional to 12,125 and 29,489

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Solution

The third proportional to 12,125 and 29,489 is: 71,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125 : 29,489 = 29,489 : x
  2. Step 2: Convert to fraction form
    12,125/29,489 = 29,489/x
  3. Step 3: Cross multiply
    12,125x = 29,489 × 29,489
  4. Step 4: Simplify right side
    12,125x = 869,601,121
  5. Step 5: Solve for x
    x = 869,601,121/12,125
  6. Step 6: Final answer
    x = 71,719.68

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.