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Finding the Third Proportional to 9.85 and 14.43

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Solution

The third proportional to 9.85 and 14.43 is: 21.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.85 : 14.43 = 14.43 : x
  2. Step 2: Convert to fraction form
    9.85/14.43 = 14.43/x
  3. Step 3: Cross multiply
    9.85x = 14.43 × 14.43
  4. Step 4: Simplify right side
    9.85x = 208.16
  5. Step 5: Solve for x
    x = 208.16/9.85
  6. Step 6: Final answer
    x = 21.13

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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.