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Finding the Third Proportional to 3,984,299.20 and 8,447,411.04

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Solution

The third proportional to 3,984,299.20 and 8,447,411.04 is: 17,909,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984,299.20 : 8,447,411.04 = 8,447,411.04 : x
  2. Step 2: Convert to fraction form
    3,984,299.20/8,447,411.04 = 8,447,411.04/x
  3. Step 3: Cross multiply
    3,984,299.20x = 8,447,411.04 × 8,447,411.04
  4. Step 4: Simplify right side
    3,984,299.20x = 71,358,753,267,517.67
  5. Step 5: Solve for x
    x = 71,358,753,267,517.67/3,984,299.20
  6. Step 6: Final answer
    x = 17,909,988.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.