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Finding the Third Proportional to 106.78 and 157.17

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Solution

The third proportional to 106.78 and 157.17 is: 231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.78 : 157.17 = 157.17 : x
  2. Step 2: Convert to fraction form
    106.78/157.17 = 157.17/x
  3. Step 3: Cross multiply
    106.78x = 157.17 × 157.17
  4. Step 4: Simplify right side
    106.78x = 24,703.00
  5. Step 5: Solve for x
    x = 24,703.00/106.78
  6. Step 6: Final answer
    x = 231.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.