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Finding the Third Proportional to 72.14 and 106.95

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Solution

The third proportional to 72.14 and 106.95 is: 158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 106.95 = 106.95 : x
  2. Step 2: Convert to fraction form
    72.14/106.95 = 106.95/x
  3. Step 3: Cross multiply
    72.14x = 106.95 × 106.95
  4. Step 4: Simplify right side
    72.14x = 11,437.30
  5. Step 5: Solve for x
    x = 11,437.30/72.14
  6. Step 6: Final answer
    x = 158.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.