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Finding the Third Proportional to 685.88 and 1,462.88

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Solution

The third proportional to 685.88 and 1,462.88 is: 3,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.88 : 1,462.88 = 1,462.88 : x
  2. Step 2: Convert to fraction form
    685.88/1,462.88 = 1,462.88/x
  3. Step 3: Cross multiply
    685.88x = 1,462.88 × 1,462.88
  4. Step 4: Simplify right side
    685.88x = 2,140,003.27
  5. Step 5: Solve for x
    x = 2,140,003.27/685.88
  6. Step 6: Final answer
    x = 3,120.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.