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Finding the Third Proportional to 412,869 and 581,394

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Solution

The third proportional to 412,869 and 581,394 is: 818,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,869 : 581,394 = 581,394 : x
  2. Step 2: Convert to fraction form
    412,869/581,394 = 581,394/x
  3. Step 3: Cross multiply
    412,869x = 581,394 × 581,394
  4. Step 4: Simplify right side
    412,869x = 338,018,983,236
  5. Step 5: Solve for x
    x = 338,018,983,236/412,869
  6. Step 6: Final answer
    x = 818,707.59

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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.