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Finding the Third Proportional to 46.20 and 69.61

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Solution

The third proportional to 46.20 and 69.61 is: 104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.20 : 69.61 = 69.61 : x
  2. Step 2: Convert to fraction form
    46.20/69.61 = 69.61/x
  3. Step 3: Cross multiply
    46.20x = 69.61 × 69.61
  4. Step 4: Simplify right side
    46.20x = 4,845.47
  5. Step 5: Solve for x
    x = 4,845.47/46.20
  6. Step 6: Final answer
    x = 104.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.