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Finding the Third Proportional to 21,474 and 31,387

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Solution

The third proportional to 21,474 and 31,387 is: 45,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,474 : 31,387 = 31,387 : x
  2. Step 2: Convert to fraction form
    21,474/31,387 = 31,387/x
  3. Step 3: Cross multiply
    21,474x = 31,387 × 31,387
  4. Step 4: Simplify right side
    21,474x = 985,143,769
  5. Step 5: Solve for x
    x = 985,143,769/21,474
  6. Step 6: Final answer
    x = 45,876.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.