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Finding the Third Proportional to 328,404 and 705,921

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Solution

The third proportional to 328,404 and 705,921 is: 1,517,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,404 : 705,921 = 705,921 : x
  2. Step 2: Convert to fraction form
    328,404/705,921 = 705,921/x
  3. Step 3: Cross multiply
    328,404x = 705,921 × 705,921
  4. Step 4: Simplify right side
    328,404x = 498,324,458,241
  5. Step 5: Solve for x
    x = 498,324,458,241/328,404
  6. Step 6: Final answer
    x = 1,517,412.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.