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Finding the Third Proportional to 10.43 and 15.24

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Solution

The third proportional to 10.43 and 15.24 is: 22.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.43 : 15.24 = 15.24 : x
  2. Step 2: Convert to fraction form
    10.43/15.24 = 15.24/x
  3. Step 3: Cross multiply
    10.43x = 15.24 × 15.24
  4. Step 4: Simplify right side
    10.43x = 232.26
  5. Step 5: Solve for x
    x = 232.26/10.43
  6. Step 6: Final answer
    x = 22.26

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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.