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Finding the Third Proportional to 289,437 and 447,282

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Solution

The third proportional to 289,437 and 447,282 is: 691,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,437 : 447,282 = 447,282 : x
  2. Step 2: Convert to fraction form
    289,437/447,282 = 447,282/x
  3. Step 3: Cross multiply
    289,437x = 447,282 × 447,282
  4. Step 4: Simplify right side
    289,437x = 200,061,187,524
  5. Step 5: Solve for x
    x = 200,061,187,524/289,437
  6. Step 6: Final answer
    x = 691,208.06

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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.