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Finding the Third Proportional to 10.15 and 21.80

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Solution

The third proportional to 10.15 and 21.80 is: 46.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.15 : 21.80 = 21.80 : x
  2. Step 2: Convert to fraction form
    10.15/21.80 = 21.80/x
  3. Step 3: Cross multiply
    10.15x = 21.80 × 21.80
  4. Step 4: Simplify right side
    10.15x = 475.04
  5. Step 5: Solve for x
    x = 475.04/10.15
  6. Step 6: Final answer
    x = 46.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.