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Finding the Third Proportional to 157,676 and 338,680

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Solution

The third proportional to 157,676 and 338,680 is: 727,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,676 : 338,680 = 338,680 : x
  2. Step 2: Convert to fraction form
    157,676/338,680 = 338,680/x
  3. Step 3: Cross multiply
    157,676x = 338,680 × 338,680
  4. Step 4: Simplify right side
    157,676x = 114,704,142,400
  5. Step 5: Solve for x
    x = 114,704,142,400/157,676
  6. Step 6: Final answer
    x = 727,467.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.