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Finding the Third Proportional to 101.91 and 147.14

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Solution

The third proportional to 101.91 and 147.14 is: 212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.91 : 147.14 = 147.14 : x
  2. Step 2: Convert to fraction form
    101.91/147.14 = 147.14/x
  3. Step 3: Cross multiply
    101.91x = 147.14 × 147.14
  4. Step 4: Simplify right side
    101.91x = 21,650.36
  5. Step 5: Solve for x
    x = 21,650.36/101.91
  6. Step 6: Final answer
    x = 212.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.