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Finding the Third Proportional to 8,649.84 and 18,915.33

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Solution

The third proportional to 8,649.84 and 18,915.33 is: 41,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.84 : 18,915.33 = 18,915.33 : x
  2. Step 2: Convert to fraction form
    8,649.84/18,915.33 = 18,915.33/x
  3. Step 3: Cross multiply
    8,649.84x = 18,915.33 × 18,915.33
  4. Step 4: Simplify right side
    8,649.84x = 357,789,638.08
  5. Step 5: Solve for x
    x = 357,789,638.08/8,649.84
  6. Step 6: Final answer
    x = 41,363.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.