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Finding the Third Proportional to 289,420 and 447,251

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Solution

The third proportional to 289,420 and 447,251 is: 691,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,420 : 447,251 = 447,251 : x
  2. Step 2: Convert to fraction form
    289,420/447,251 = 447,251/x
  3. Step 3: Cross multiply
    289,420x = 447,251 × 447,251
  4. Step 4: Simplify right side
    289,420x = 200,033,457,001
  5. Step 5: Solve for x
    x = 200,033,457,001/289,420
  6. Step 6: Final answer
    x = 691,152.85

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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.