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Finding the Third Proportional to 428,742 and 664,542

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Solution

The third proportional to 428,742 and 664,542 is: 1,030,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,742 : 664,542 = 664,542 : x
  2. Step 2: Convert to fraction form
    428,742/664,542 = 664,542/x
  3. Step 3: Cross multiply
    428,742x = 664,542 × 664,542
  4. Step 4: Simplify right side
    428,742x = 441,616,069,764
  5. Step 5: Solve for x
    x = 441,616,069,764/428,742
  6. Step 6: Final answer
    x = 1,030,027.55

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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.