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Finding the Third Proportional to 458,612 and 660,568

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Solution

The third proportional to 458,612 and 660,568 is: 951,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,612 : 660,568 = 660,568 : x
  2. Step 2: Convert to fraction form
    458,612/660,568 = 660,568/x
  3. Step 3: Cross multiply
    458,612x = 660,568 × 660,568
  4. Step 4: Simplify right side
    458,612x = 436,350,082,624
  5. Step 5: Solve for x
    x = 436,350,082,624/458,612
  6. Step 6: Final answer
    x = 951,458.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.