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Finding the Third Proportional to 1,549.13 and 2,218.78

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Solution

The third proportional to 1,549.13 and 2,218.78 is: 3,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.13 : 2,218.78 = 2,218.78 : x
  2. Step 2: Convert to fraction form
    1,549.13/2,218.78 = 2,218.78/x
  3. Step 3: Cross multiply
    1,549.13x = 2,218.78 × 2,218.78
  4. Step 4: Simplify right side
    1,549.13x = 4,922,990.24
  5. Step 5: Solve for x
    x = 4,922,990.24/1,549.13
  6. Step 6: Final answer
    x = 3,177.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.