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Finding the Third Proportional to 15.66 and 22.34

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Solution

The third proportional to 15.66 and 22.34 is: 31.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.66 : 22.34 = 22.34 : x
  2. Step 2: Convert to fraction form
    15.66/22.34 = 22.34/x
  3. Step 3: Cross multiply
    15.66x = 22.34 × 22.34
  4. Step 4: Simplify right side
    15.66x = 499.24
  5. Step 5: Solve for x
    x = 499.24/15.66
  6. Step 6: Final answer
    x = 31.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.