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Finding the Third Proportional to 415,758 and 669,573

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Solution

The third proportional to 415,758 and 669,573 is: 1,078,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,758 : 669,573 = 669,573 : x
  2. Step 2: Convert to fraction form
    415,758/669,573 = 669,573/x
  3. Step 3: Cross multiply
    415,758x = 669,573 × 669,573
  4. Step 4: Simplify right side
    415,758x = 448,328,002,329
  5. Step 5: Solve for x
    x = 448,328,002,329/415,758
  6. Step 6: Final answer
    x = 1,078,338.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.