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Finding the Third Proportional to 157,980.38 and 338,195.25

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Solution

The third proportional to 157,980.38 and 338,195.25 is: 723,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,980.38 : 338,195.25 = 338,195.25 : x
  2. Step 2: Convert to fraction form
    157,980.38/338,195.25 = 338,195.25/x
  3. Step 3: Cross multiply
    157,980.38x = 338,195.25 × 338,195.25
  4. Step 4: Simplify right side
    157,980.38x = 114,376,027,122.56
  5. Step 5: Solve for x
    x = 114,376,027,122.56/157,980.38
  6. Step 6: Final answer
    x = 723,988.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.