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Finding the Third Proportional to 15.65 and 22.86

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Solution

The third proportional to 15.65 and 22.86 is: 33.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.65 : 22.86 = 22.86 : x
  2. Step 2: Convert to fraction form
    15.65/22.86 = 22.86/x
  3. Step 3: Cross multiply
    15.65x = 22.86 × 22.86
  4. Step 4: Simplify right side
    15.65x = 522.60
  5. Step 5: Solve for x
    x = 522.60/15.65
  6. Step 6: Final answer
    x = 33.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.