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Finding the Third Proportional to 157.43 and 252.70

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Solution

The third proportional to 157.43 and 252.70 is: 405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.43 : 252.70 = 252.70 : x
  2. Step 2: Convert to fraction form
    157.43/252.70 = 252.70/x
  3. Step 3: Cross multiply
    157.43x = 252.70 × 252.70
  4. Step 4: Simplify right side
    157.43x = 63,858.87
  5. Step 5: Solve for x
    x = 63,858.87/157.43
  6. Step 6: Final answer
    x = 405.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.