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Finding the Third Proportional to 157.78 and 341.23

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Solution

The third proportional to 157.78 and 341.23 is: 737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.78 : 341.23 = 341.23 : x
  2. Step 2: Convert to fraction form
    157.78/341.23 = 341.23/x
  3. Step 3: Cross multiply
    157.78x = 341.23 × 341.23
  4. Step 4: Simplify right side
    157.78x = 116,435.57
  5. Step 5: Solve for x
    x = 116,435.57/157.78
  6. Step 6: Final answer
    x = 737.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.