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Finding the Third Proportional to 8.90 and 14.21

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Solution

The third proportional to 8.90 and 14.21 is: 22.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.90 : 14.21 = 14.21 : x
  2. Step 2: Convert to fraction form
    8.90/14.21 = 14.21/x
  3. Step 3: Cross multiply
    8.90x = 14.21 × 14.21
  4. Step 4: Simplify right side
    8.90x = 201.96
  5. Step 5: Solve for x
    x = 201.96/8.90
  6. Step 6: Final answer
    x = 22.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.