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Finding the Third Proportional to 8,641.69 and 18,576.84

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Solution

The third proportional to 8,641.69 and 18,576.84 is: 39,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.69 : 18,576.84 = 18,576.84 : x
  2. Step 2: Convert to fraction form
    8,641.69/18,576.84 = 18,576.84/x
  3. Step 3: Cross multiply
    8,641.69x = 18,576.84 × 18,576.84
  4. Step 4: Simplify right side
    8,641.69x = 345,099,123.71
  5. Step 5: Solve for x
    x = 345,099,123.71/8,641.69
  6. Step 6: Final answer
    x = 39,934.23

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1.5x scale

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.