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Finding the Third Proportional to 412,859.25 and 581,380.88

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Solution

The third proportional to 412,859.25 and 581,380.88 is: 818,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,859.25 : 581,380.88 = 581,380.88 : x
  2. Step 2: Convert to fraction form
    412,859.25/581,380.88 = 581,380.88/x
  3. Step 3: Cross multiply
    412,859.25x = 581,380.88 × 581,380.88
  4. Step 4: Simplify right side
    412,859.25x = 338,003,721,815.77
  5. Step 5: Solve for x
    x = 338,003,721,815.77/412,859.25
  6. Step 6: Final answer
    x = 818,689.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.