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Finding the Third Proportional to 157.32 and 343.86

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Solution

The third proportional to 157.32 and 343.86 is: 751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.32 : 343.86 = 343.86 : x
  2. Step 2: Convert to fraction form
    157.32/343.86 = 343.86/x
  3. Step 3: Cross multiply
    157.32x = 343.86 × 343.86
  4. Step 4: Simplify right side
    157.32x = 118,241.96
  5. Step 5: Solve for x
    x = 118,241.96/157.32
  6. Step 6: Final answer
    x = 751.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.