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Finding the Third Proportional to 21.62 and 47.30

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Solution

The third proportional to 21.62 and 47.30 is: 103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.62 : 47.30 = 47.30 : x
  2. Step 2: Convert to fraction form
    21.62/47.30 = 47.30/x
  3. Step 3: Cross multiply
    21.62x = 47.30 × 47.30
  4. Step 4: Simplify right side
    21.62x = 2,237.55
  5. Step 5: Solve for x
    x = 2,237.55/21.62
  6. Step 6: Final answer
    x = 103.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.