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Finding the Third Proportional to 15.10 and 21.57

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Solution

The third proportional to 15.10 and 21.57 is: 30.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.10 : 21.57 = 21.57 : x
  2. Step 2: Convert to fraction form
    15.10/21.57 = 21.57/x
  3. Step 3: Cross multiply
    15.10x = 21.57 × 21.57
  4. Step 4: Simplify right side
    15.10x = 465.38
  5. Step 5: Solve for x
    x = 465.38/15.10
  6. Step 6: Final answer
    x = 30.82

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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.