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Finding the Third Proportional to 411,227 and 645,241

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Solution

The third proportional to 411,227 and 645,241 is: 1,012,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,227 : 645,241 = 645,241 : x
  2. Step 2: Convert to fraction form
    411,227/645,241 = 645,241/x
  3. Step 3: Cross multiply
    411,227x = 645,241 × 645,241
  4. Step 4: Simplify right side
    411,227x = 416,335,948,081
  5. Step 5: Solve for x
    x = 416,335,948,081/411,227
  6. Step 6: Final answer
    x = 1,012,423.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.