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Finding the Third Proportional to 10.47 and 14.73

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Solution

The third proportional to 10.47 and 14.73 is: 20.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.47 : 14.73 = 14.73 : x
  2. Step 2: Convert to fraction form
    10.47/14.73 = 14.73/x
  3. Step 3: Cross multiply
    10.47x = 14.73 × 14.73
  4. Step 4: Simplify right side
    10.47x = 216.99
  5. Step 5: Solve for x
    x = 216.99/10.47
  6. Step 6: Final answer
    x = 20.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.