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Finding the Third Proportional to 412,812 and 581,329

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Solution

The third proportional to 412,812 and 581,329 is: 818,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,812 : 581,329 = 581,329 : x
  2. Step 2: Convert to fraction form
    412,812/581,329 = 581,329/x
  3. Step 3: Cross multiply
    412,812x = 581,329 × 581,329
  4. Step 4: Simplify right side
    412,812x = 337,943,406,241
  5. Step 5: Solve for x
    x = 337,943,406,241/412,812
  6. Step 6: Final answer
    x = 818,637.55

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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.