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Finding the Third Proportional to 8.95 and 21.15

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Solution

The third proportional to 8.95 and 21.15 is: 49.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.95 : 21.15 = 21.15 : x
  2. Step 2: Convert to fraction form
    8.95/21.15 = 21.15/x
  3. Step 3: Cross multiply
    8.95x = 21.15 × 21.15
  4. Step 4: Simplify right side
    8.95x = 447.39
  5. Step 5: Solve for x
    x = 447.39/8.95
  6. Step 6: Final answer
    x = 49.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.