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Finding the Third Proportional to 638,344 and 970,782

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Solution

The third proportional to 638,344 and 970,782 is: 1,476,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,344 : 970,782 = 970,782 : x
  2. Step 2: Convert to fraction form
    638,344/970,782 = 970,782/x
  3. Step 3: Cross multiply
    638,344x = 970,782 × 970,782
  4. Step 4: Simplify right side
    638,344x = 942,417,691,524
  5. Step 5: Solve for x
    x = 942,417,691,524/638,344
  6. Step 6: Final answer
    x = 1,476,347.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.