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Finding the Third Proportional to 3,931,367 and 8,409,227

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Solution

The third proportional to 3,931,367 and 8,409,227 is: 17,987,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931,367 : 8,409,227 = 8,409,227 : x
  2. Step 2: Convert to fraction form
    3,931,367/8,409,227 = 8,409,227/x
  3. Step 3: Cross multiply
    3,931,367x = 8,409,227 × 8,409,227
  4. Step 4: Simplify right side
    3,931,367x = 70,715,098,737,529
  5. Step 5: Solve for x
    x = 70,715,098,737,529/3,931,367
  6. Step 6: Final answer
    x = 17,987,407.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.