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Finding the Third Proportional to 221.13 and 389.88

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Solution

The third proportional to 221.13 and 389.88 is: 687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.13 : 389.88 = 389.88 : x
  2. Step 2: Convert to fraction form
    221.13/389.88 = 389.88/x
  3. Step 3: Cross multiply
    221.13x = 389.88 × 389.88
  4. Step 4: Simplify right side
    221.13x = 152,002.52
  5. Step 5: Solve for x
    x = 152,002.52/221.13
  6. Step 6: Final answer
    x = 687.41

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.