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Finding the Third Proportional to 3,142.13 and 3,456.84

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Solution

The third proportional to 3,142.13 and 3,456.84 is: 3,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.13 : 3,456.84 = 3,456.84 : x
  2. Step 2: Convert to fraction form
    3,142.13/3,456.84 = 3,456.84/x
  3. Step 3: Cross multiply
    3,142.13x = 3,456.84 × 3,456.84
  4. Step 4: Simplify right side
    3,142.13x = 11,949,768.71
  5. Step 5: Solve for x
    x = 11,949,768.71/3,142.13
  6. Step 6: Final answer
    x = 3,803.09

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.