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Finding the Third Proportional to 290,676 and 625,884

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Solution

The third proportional to 290,676 and 625,884 is: 1,347,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,676 : 625,884 = 625,884 : x
  2. Step 2: Convert to fraction form
    290,676/625,884 = 625,884/x
  3. Step 3: Cross multiply
    290,676x = 625,884 × 625,884
  4. Step 4: Simplify right side
    290,676x = 391,730,781,456
  5. Step 5: Solve for x
    x = 391,730,781,456/290,676
  6. Step 6: Final answer
    x = 1,347,654.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.