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Finding the Third Proportional to 21.52 and 44.30

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Solution

The third proportional to 21.52 and 44.30 is: 91.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.52 : 44.30 = 44.30 : x
  2. Step 2: Convert to fraction form
    21.52/44.30 = 44.30/x
  3. Step 3: Cross multiply
    21.52x = 44.30 × 44.30
  4. Step 4: Simplify right side
    21.52x = 1,962.21
  5. Step 5: Solve for x
    x = 1,962.21/21.52
  6. Step 6: Final answer
    x = 91.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.