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Finding the Third Proportional to 5,118.31 and 6,878.16

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Solution

The third proportional to 5,118.31 and 6,878.16 is: 9,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.31 : 6,878.16 = 6,878.16 : x
  2. Step 2: Convert to fraction form
    5,118.31/6,878.16 = 6,878.16/x
  3. Step 3: Cross multiply
    5,118.31x = 6,878.16 × 6,878.16
  4. Step 4: Simplify right side
    5,118.31x = 47,309,053.55
  5. Step 5: Solve for x
    x = 47,309,053.55/5,118.31
  6. Step 6: Final answer
    x = 9,243.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.