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Finding the Third Proportional to 32.87 and 51.04

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Solution

The third proportional to 32.87 and 51.04 is: 79.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.87 : 51.04 = 51.04 : x
  2. Step 2: Convert to fraction form
    32.87/51.04 = 51.04/x
  3. Step 3: Cross multiply
    32.87x = 51.04 × 51.04
  4. Step 4: Simplify right side
    32.87x = 2,604.59
  5. Step 5: Solve for x
    x = 2,604.59/32.87
  6. Step 6: Final answer
    x = 79.25

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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.