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Finding the Third Proportional to 395,677.13 and 805,337.69

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Solution

The third proportional to 395,677.13 and 805,337.69 is: 1,639,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,677.13 : 805,337.69 = 805,337.69 : x
  2. Step 2: Convert to fraction form
    395,677.13/805,337.69 = 805,337.69/x
  3. Step 3: Cross multiply
    395,677.13x = 805,337.69 × 805,337.69
  4. Step 4: Simplify right side
    395,677.13x = 648,568,790,907.85
  5. Step 5: Solve for x
    x = 648,568,790,907.85/395,677.13
  6. Step 6: Final answer
    x = 1,639,136.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.