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Finding the Third Proportional to 157.31 and 347.53

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Solution

The third proportional to 157.31 and 347.53 is: 767.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.31 : 347.53 = 347.53 : x
  2. Step 2: Convert to fraction form
    157.31/347.53 = 347.53/x
  3. Step 3: Cross multiply
    157.31x = 347.53 × 347.53
  4. Step 4: Simplify right side
    157.31x = 120,777.97
  5. Step 5: Solve for x
    x = 120,777.97/157.31
  6. Step 6: Final answer
    x = 767.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.