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Finding the Third Proportional to 21.87 and 31.77

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Solution

The third proportional to 21.87 and 31.77 is: 46.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.87 : 31.77 = 31.77 : x
  2. Step 2: Convert to fraction form
    21.87/31.77 = 31.77/x
  3. Step 3: Cross multiply
    21.87x = 31.77 × 31.77
  4. Step 4: Simplify right side
    21.87x = 1,009.04
  5. Step 5: Solve for x
    x = 1,009.04/21.87
  6. Step 6: Final answer
    x = 46.14

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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.