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Finding the Third Proportional to 1,218.48 and 2,512.90

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Solution

The third proportional to 1,218.48 and 2,512.90 is: 5,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.48 : 2,512.90 = 2,512.90 : x
  2. Step 2: Convert to fraction form
    1,218.48/2,512.90 = 2,512.90/x
  3. Step 3: Cross multiply
    1,218.48x = 2,512.90 × 2,512.90
  4. Step 4: Simplify right side
    1,218.48x = 6,314,658.56
  5. Step 5: Solve for x
    x = 6,314,658.56/1,218.48
  6. Step 6: Final answer
    x = 5,182.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.