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Finding the Third Proportional to 21.50 and 31.19

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Solution

The third proportional to 21.50 and 31.19 is: 45.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.50 : 31.19 = 31.19 : x
  2. Step 2: Convert to fraction form
    21.50/31.19 = 31.19/x
  3. Step 3: Cross multiply
    21.50x = 31.19 × 31.19
  4. Step 4: Simplify right side
    21.50x = 972.66
  5. Step 5: Solve for x
    x = 972.66/21.50
  6. Step 6: Final answer
    x = 45.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.