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Finding the Third Proportional to 21.45 and 46.55

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Solution

The third proportional to 21.45 and 46.55 is: 101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.45 : 46.55 = 46.55 : x
  2. Step 2: Convert to fraction form
    21.45/46.55 = 46.55/x
  3. Step 3: Cross multiply
    21.45x = 46.55 × 46.55
  4. Step 4: Simplify right side
    21.45x = 2,166.61
  5. Step 5: Solve for x
    x = 2,166.61/21.45
  6. Step 6: Final answer
    x = 101.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.