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Finding the Third Proportional to 15.24 and 23.70

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Solution

The third proportional to 15.24 and 23.70 is: 36.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.24 : 23.70 = 23.70 : x
  2. Step 2: Convert to fraction form
    15.24/23.70 = 23.70/x
  3. Step 3: Cross multiply
    15.24x = 23.70 × 23.70
  4. Step 4: Simplify right side
    15.24x = 561.88
  5. Step 5: Solve for x
    x = 561.88/15.24
  6. Step 6: Final answer
    x = 36.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.