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Finding the Third Proportional to 4,151.88 and 8,688.20

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Solution

The third proportional to 4,151.88 and 8,688.20 is: 18,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.88 : 8,688.20 = 8,688.20 : x
  2. Step 2: Convert to fraction form
    4,151.88/8,688.20 = 8,688.20/x
  3. Step 3: Cross multiply
    4,151.88x = 8,688.20 × 8,688.20
  4. Step 4: Simplify right side
    4,151.88x = 75,484,805.66
  5. Step 5: Solve for x
    x = 75,484,805.66/4,151.88
  6. Step 6: Final answer
    x = 18,180.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.