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Finding the Third Proportional to 31.13 and 48.05

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Solution

The third proportional to 31.13 and 48.05 is: 74.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.13 : 48.05 = 48.05 : x
  2. Step 2: Convert to fraction form
    31.13/48.05 = 48.05/x
  3. Step 3: Cross multiply
    31.13x = 48.05 × 48.05
  4. Step 4: Simplify right side
    31.13x = 2,308.50
  5. Step 5: Solve for x
    x = 2,308.50/31.13
  6. Step 6: Final answer
    x = 74.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.