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Finding the Third Proportional to 1,233.75 and 2,641.20

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Solution

The third proportional to 1,233.75 and 2,641.20 is: 5,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.75 : 2,641.20 = 2,641.20 : x
  2. Step 2: Convert to fraction form
    1,233.75/2,641.20 = 2,641.20/x
  3. Step 3: Cross multiply
    1,233.75x = 2,641.20 × 2,641.20
  4. Step 4: Simplify right side
    1,233.75x = 6,975,943.63
  5. Step 5: Solve for x
    x = 6,975,943.63/1,233.75
  6. Step 6: Final answer
    x = 5,654.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.