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Finding the Third Proportional to 412,866 and 581,390

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Solution

The third proportional to 412,866 and 581,390 is: 818,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,866 : 581,390 = 581,390 : x
  2. Step 2: Convert to fraction form
    412,866/581,390 = 581,390/x
  3. Step 3: Cross multiply
    412,866x = 581,390 × 581,390
  4. Step 4: Simplify right side
    412,866x = 338,014,332,100
  5. Step 5: Solve for x
    x = 338,014,332,100/412,866
  6. Step 6: Final answer
    x = 818,702.27

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