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Finding the Third Proportional to 253,586 and 392,449

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Solution

The third proportional to 253,586 and 392,449 is: 607,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,586 : 392,449 = 392,449 : x
  2. Step 2: Convert to fraction form
    253,586/392,449 = 392,449/x
  3. Step 3: Cross multiply
    253,586x = 392,449 × 392,449
  4. Step 4: Simplify right side
    253,586x = 154,016,217,601
  5. Step 5: Solve for x
    x = 154,016,217,601/253,586
  6. Step 6: Final answer
    x = 607,353.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.