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Finding the Third Proportional to 157.15 and 345.41

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Solution

The third proportional to 157.15 and 345.41 is: 759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.15 : 345.41 = 345.41 : x
  2. Step 2: Convert to fraction form
    157.15/345.41 = 345.41/x
  3. Step 3: Cross multiply
    157.15x = 345.41 × 345.41
  4. Step 4: Simplify right side
    157.15x = 119,308.18
  5. Step 5: Solve for x
    x = 119,308.18/157.15
  6. Step 6: Final answer
    x = 759.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.