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Finding the Third Proportional to 289,272 and 447,843

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Solution

The third proportional to 289,272 and 447,843 is: 693,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,272 : 447,843 = 447,843 : x
  2. Step 2: Convert to fraction form
    289,272/447,843 = 447,843/x
  3. Step 3: Cross multiply
    289,272x = 447,843 × 447,843
  4. Step 4: Simplify right side
    289,272x = 200,563,352,649
  5. Step 5: Solve for x
    x = 200,563,352,649/289,272
  6. Step 6: Final answer
    x = 693,338.29

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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.