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Finding the Third Proportional to 257,378.29 and 391,314.96

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Solution

The third proportional to 257,378.29 and 391,314.96 is: 594,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,378.29 : 391,314.96 = 391,314.96 : x
  2. Step 2: Convert to fraction form
    257,378.29/391,314.96 = 391,314.96/x
  3. Step 3: Cross multiply
    257,378.29x = 391,314.96 × 391,314.96
  4. Step 4: Simplify right side
    257,378.29x = 153,127,394,067.79
  5. Step 5: Solve for x
    x = 153,127,394,067.79/257,378.29
  6. Step 6: Final answer
    x = 594,950.70

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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.