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Finding the Third Proportional to 10.05 and 14.66

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Solution

The third proportional to 10.05 and 14.66 is: 21.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.05 : 14.66 = 14.66 : x
  2. Step 2: Convert to fraction form
    10.05/14.66 = 14.66/x
  3. Step 3: Cross multiply
    10.05x = 14.66 × 14.66
  4. Step 4: Simplify right side
    10.05x = 214.92
  5. Step 5: Solve for x
    x = 214.92/10.05
  6. Step 6: Final answer
    x = 21.38

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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.