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Finding the Third Proportional to 1,221.75 and 2,638.13

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Solution

The third proportional to 1,221.75 and 2,638.13 is: 5,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.75 : 2,638.13 = 2,638.13 : x
  2. Step 2: Convert to fraction form
    1,221.75/2,638.13 = 2,638.13/x
  3. Step 3: Cross multiply
    1,221.75x = 2,638.13 × 2,638.13
  4. Step 4: Simplify right side
    1,221.75x = 6,959,703.52
  5. Step 5: Solve for x
    x = 6,959,703.52/1,221.75
  6. Step 6: Final answer
    x = 5,696.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.