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Finding the Third Proportional to 390,558 and 625,149

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Solution

The third proportional to 390,558 and 625,149 is: 1,000,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,558 : 625,149 = 625,149 : x
  2. Step 2: Convert to fraction form
    390,558/625,149 = 625,149/x
  3. Step 3: Cross multiply
    390,558x = 625,149 × 625,149
  4. Step 4: Simplify right side
    390,558x = 390,811,272,201
  5. Step 5: Solve for x
    x = 390,811,272,201/390,558
  6. Step 6: Final answer
    x = 1,000,648.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.