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Finding the Third Proportional to 15.65 and 25.28

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Solution

The third proportional to 15.65 and 25.28 is: 40.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.65 : 25.28 = 25.28 : x
  2. Step 2: Convert to fraction form
    15.65/25.28 = 25.28/x
  3. Step 3: Cross multiply
    15.65x = 25.28 × 25.28
  4. Step 4: Simplify right side
    15.65x = 639.14
  5. Step 5: Solve for x
    x = 639.14/15.65
  6. Step 6: Final answer
    x = 40.84

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.