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Finding the Third Proportional to 49.31 and 76.04

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Solution

The third proportional to 49.31 and 76.04 is: 117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.31 : 76.04 = 76.04 : x
  2. Step 2: Convert to fraction form
    49.31/76.04 = 76.04/x
  3. Step 3: Cross multiply
    49.31x = 76.04 × 76.04
  4. Step 4: Simplify right side
    49.31x = 5,782.53
  5. Step 5: Solve for x
    x = 5,782.53/49.31
  6. Step 6: Final answer
    x = 117.28

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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.