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Finding the Third Proportional to 31.99 and 45.21

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Solution

The third proportional to 31.99 and 45.21 is: 63.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.99 : 45.21 = 45.21 : x
  2. Step 2: Convert to fraction form
    31.99/45.21 = 45.21/x
  3. Step 3: Cross multiply
    31.99x = 45.21 × 45.21
  4. Step 4: Simplify right side
    31.99x = 2,044.03
  5. Step 5: Solve for x
    x = 2,044.03/31.99
  6. Step 6: Final answer
    x = 63.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.