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Finding the Third Proportional to 32.13 and 67.99

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Solution

The third proportional to 32.13 and 67.99 is: 143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.13 : 67.99 = 67.99 : x
  2. Step 2: Convert to fraction form
    32.13/67.99 = 67.99/x
  3. Step 3: Cross multiply
    32.13x = 67.99 × 67.99
  4. Step 4: Simplify right side
    32.13x = 4,622.94
  5. Step 5: Solve for x
    x = 4,622.94/32.13
  6. Step 6: Final answer
    x = 143.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.