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Finding the Third Proportional to 8,380.65 and 18,299.04

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Solution

The third proportional to 8,380.65 and 18,299.04 is: 39,955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.65 : 18,299.04 = 18,299.04 : x
  2. Step 2: Convert to fraction form
    8,380.65/18,299.04 = 18,299.04/x
  3. Step 3: Cross multiply
    8,380.65x = 18,299.04 × 18,299.04
  4. Step 4: Simplify right side
    8,380.65x = 334,854,830.61
  5. Step 5: Solve for x
    x = 334,854,830.61/8,380.65
  6. Step 6: Final answer
    x = 39,955.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.