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Finding the Third Proportional to 1,231.31 and 2,655.84

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Solution

The third proportional to 1,231.31 and 2,655.84 is: 5,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.31 : 2,655.84 = 2,655.84 : x
  2. Step 2: Convert to fraction form
    1,231.31/2,655.84 = 2,655.84/x
  3. Step 3: Cross multiply
    1,231.31x = 2,655.84 × 2,655.84
  4. Step 4: Simplify right side
    1,231.31x = 7,053,506.02
  5. Step 5: Solve for x
    x = 7,053,506.02/1,231.31
  6. Step 6: Final answer
    x = 5,728.45

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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.