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Finding the Third Proportional to 290,708 and 625,934

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Solution

The third proportional to 290,708 and 625,934 is: 1,347,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,708 : 625,934 = 625,934 : x
  2. Step 2: Convert to fraction form
    290,708/625,934 = 625,934/x
  3. Step 3: Cross multiply
    290,708x = 625,934 × 625,934
  4. Step 4: Simplify right side
    290,708x = 391,793,372,356
  5. Step 5: Solve for x
    x = 391,793,372,356/290,708
  6. Step 6: Final answer
    x = 1,347,721.33

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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.