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Finding the Third Proportional to 447,970 and 693,624

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Solution

The third proportional to 447,970 and 693,624 is: 1,073,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,970 : 693,624 = 693,624 : x
  2. Step 2: Convert to fraction form
    447,970/693,624 = 693,624/x
  3. Step 3: Cross multiply
    447,970x = 693,624 × 693,624
  4. Step 4: Simplify right side
    447,970x = 481,114,253,376
  5. Step 5: Solve for x
    x = 481,114,253,376/447,970
  6. Step 6: Final answer
    x = 1,073,987.66

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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.