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Finding the Third Proportional to 157.38 and 339.13

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Solution

The third proportional to 157.38 and 339.13 is: 730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.38 : 339.13 = 339.13 : x
  2. Step 2: Convert to fraction form
    157.38/339.13 = 339.13/x
  3. Step 3: Cross multiply
    157.38x = 339.13 × 339.13
  4. Step 4: Simplify right side
    157.38x = 115,005.77
  5. Step 5: Solve for x
    x = 115,005.77/157.38
  6. Step 6: Final answer
    x = 730.78

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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.