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Finding the Third Proportional to 317,711.25 and 619,458.75

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Solution

The third proportional to 317,711.25 and 619,458.75 is: 1,207,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,711.25 : 619,458.75 = 619,458.75 : x
  2. Step 2: Convert to fraction form
    317,711.25/619,458.75 = 619,458.75/x
  3. Step 3: Cross multiply
    317,711.25x = 619,458.75 × 619,458.75
  4. Step 4: Simplify right side
    317,711.25x = 383,729,142,951.56
  5. Step 5: Solve for x
    x = 383,729,142,951.56/317,711.25
  6. Step 6: Final answer
    x = 1,207,792.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.