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Finding the Third Proportional to 31.62 and 49.06

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Solution

The third proportional to 31.62 and 49.06 is: 76.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.62 : 49.06 = 49.06 : x
  2. Step 2: Convert to fraction form
    31.62/49.06 = 49.06/x
  3. Step 3: Cross multiply
    31.62x = 49.06 × 49.06
  4. Step 4: Simplify right side
    31.62x = 2,407.15
  5. Step 5: Solve for x
    x = 2,407.15/31.62
  6. Step 6: Final answer
    x = 76.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.