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Finding the Third Proportional to 5,108.91 and 6,865.59

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Solution

The third proportional to 5,108.91 and 6,865.59 is: 9,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.91 : 6,865.59 = 6,865.59 : x
  2. Step 2: Convert to fraction form
    5,108.91/6,865.59 = 6,865.59/x
  3. Step 3: Cross multiply
    5,108.91x = 6,865.59 × 6,865.59
  4. Step 4: Simplify right side
    5,108.91x = 47,136,377.54
  5. Step 5: Solve for x
    x = 47,136,377.54/5,108.91
  6. Step 6: Final answer
    x = 9,226.31

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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.