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Finding the Third Proportional to 260,906 and 391,941

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Solution

The third proportional to 260,906 and 391,941 is: 588,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,906 : 391,941 = 391,941 : x
  2. Step 2: Convert to fraction form
    260,906/391,941 = 391,941/x
  3. Step 3: Cross multiply
    260,906x = 391,941 × 391,941
  4. Step 4: Simplify right side
    260,906x = 153,617,747,481
  5. Step 5: Solve for x
    x = 153,617,747,481/260,906
  6. Step 6: Final answer
    x = 588,785.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.