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Finding the Third Proportional to 32.91 and 51.05

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Solution

The third proportional to 32.91 and 51.05 is: 79.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.91 : 51.05 = 51.05 : x
  2. Step 2: Convert to fraction form
    32.91/51.05 = 51.05/x
  3. Step 3: Cross multiply
    32.91x = 51.05 × 51.05
  4. Step 4: Simplify right side
    32.91x = 2,605.78
  5. Step 5: Solve for x
    x = 2,605.78/32.91
  6. Step 6: Final answer
    x = 79.19

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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.