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Finding the Third Proportional to 10.92 and 14.40

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Solution

The third proportional to 10.92 and 14.40 is: 18.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.92 : 14.40 = 14.40 : x
  2. Step 2: Convert to fraction form
    10.92/14.40 = 14.40/x
  3. Step 3: Cross multiply
    10.92x = 14.40 × 14.40
  4. Step 4: Simplify right side
    10.92x = 207.26
  5. Step 5: Solve for x
    x = 207.26/10.92
  6. Step 6: Final answer
    x = 18.99

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.