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Finding the Third Proportional to 253,568 and 392,424

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Solution

The third proportional to 253,568 and 392,424 is: 607,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,568 : 392,424 = 392,424 : x
  2. Step 2: Convert to fraction form
    253,568/392,424 = 392,424/x
  3. Step 3: Cross multiply
    253,568x = 392,424 × 392,424
  4. Step 4: Simplify right side
    253,568x = 153,996,595,776
  5. Step 5: Solve for x
    x = 153,996,595,776/253,568
  6. Step 6: Final answer
    x = 607,318.73

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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.