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Finding the Third Proportional to 447,868 and 693,436

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Solution

The third proportional to 447,868 and 693,436 is: 1,073,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,868 : 693,436 = 693,436 : x
  2. Step 2: Convert to fraction form
    447,868/693,436 = 693,436/x
  3. Step 3: Cross multiply
    447,868x = 693,436 × 693,436
  4. Step 4: Simplify right side
    447,868x = 480,853,486,096
  5. Step 5: Solve for x
    x = 480,853,486,096/447,868
  6. Step 6: Final answer
    x = 1,073,650.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.