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Finding the Third Proportional to 252,568 and 392,132

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Solution

The third proportional to 252,568 and 392,132 is: 608,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,568 : 392,132 = 392,132 : x
  2. Step 2: Convert to fraction form
    252,568/392,132 = 392,132/x
  3. Step 3: Cross multiply
    252,568x = 392,132 × 392,132
  4. Step 4: Simplify right side
    252,568x = 153,767,505,424
  5. Step 5: Solve for x
    x = 153,767,505,424/252,568
  6. Step 6: Final answer
    x = 608,816.26

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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.