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Finding the Third Proportional to 8,649.28 and 18,625.78

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Solution

The third proportional to 8,649.28 and 18,625.78 is: 40,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.28 : 18,625.78 = 18,625.78 : x
  2. Step 2: Convert to fraction form
    8,649.28/18,625.78 = 18,625.78/x
  3. Step 3: Cross multiply
    8,649.28x = 18,625.78 × 18,625.78
  4. Step 4: Simplify right side
    8,649.28x = 346,919,727.17
  5. Step 5: Solve for x
    x = 346,919,727.17/8,649.28
  6. Step 6: Final answer
    x = 40,109.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.