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Finding the Third Proportional to 447,980 and 693,636

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Solution

The third proportional to 447,980 and 693,636 is: 1,074,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,980 : 693,636 = 693,636 : x
  2. Step 2: Convert to fraction form
    447,980/693,636 = 693,636/x
  3. Step 3: Cross multiply
    447,980x = 693,636 × 693,636
  4. Step 4: Simplify right side
    447,980x = 481,130,900,496
  5. Step 5: Solve for x
    x = 481,130,900,496/447,980
  6. Step 6: Final answer
    x = 1,074,000.85

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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.