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Finding the Third Proportional to 260,437 and 391,348

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Solution

The third proportional to 260,437 and 391,348 is: 588,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,437 : 391,348 = 391,348 : x
  2. Step 2: Convert to fraction form
    260,437/391,348 = 391,348/x
  3. Step 3: Cross multiply
    260,437x = 391,348 × 391,348
  4. Step 4: Simplify right side
    260,437x = 153,153,257,104
  5. Step 5: Solve for x
    x = 153,153,257,104/260,437
  6. Step 6: Final answer
    x = 588,062.59

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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.