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Finding the Third Proportional to 31.83 and 49.04

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Solution

The third proportional to 31.83 and 49.04 is: 75.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.83 : 49.04 = 49.04 : x
  2. Step 2: Convert to fraction form
    31.83/49.04 = 49.04/x
  3. Step 3: Cross multiply
    31.83x = 49.04 × 49.04
  4. Step 4: Simplify right side
    31.83x = 2,405.21
  5. Step 5: Solve for x
    x = 2,405.21/31.83
  6. Step 6: Final answer
    x = 75.57

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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.