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Finding the Third Proportional to 21.61 and 46.17

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Solution

The third proportional to 21.61 and 46.17 is: 98.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.61 : 46.17 = 46.17 : x
  2. Step 2: Convert to fraction form
    21.61/46.17 = 46.17/x
  3. Step 3: Cross multiply
    21.61x = 46.17 × 46.17
  4. Step 4: Simplify right side
    21.61x = 2,131.84
  5. Step 5: Solve for x
    x = 2,131.84/21.61
  6. Step 6: Final answer
    x = 98.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.