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Finding the Third Proportional to 257,149.50 and 385,470.75

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Solution

The third proportional to 257,149.50 and 385,470.75 is: 577,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,149.50 : 385,470.75 = 385,470.75 : x
  2. Step 2: Convert to fraction form
    257,149.50/385,470.75 = 385,470.75/x
  3. Step 3: Cross multiply
    257,149.50x = 385,470.75 × 385,470.75
  4. Step 4: Simplify right side
    257,149.50x = 148,587,699,105.56
  5. Step 5: Solve for x
    x = 148,587,699,105.56/257,149.50
  6. Step 6: Final answer
    x = 577,826.12

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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.