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Finding the Third Proportional to 328,422 and 705,957

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Solution

The third proportional to 328,422 and 705,957 is: 1,517,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,422 : 705,957 = 705,957 : x
  2. Step 2: Convert to fraction form
    328,422/705,957 = 705,957/x
  3. Step 3: Cross multiply
    328,422x = 705,957 × 705,957
  4. Step 4: Simplify right side
    328,422x = 498,375,285,849
  5. Step 5: Solve for x
    x = 498,375,285,849/328,422
  6. Step 6: Final answer
    x = 1,517,484.47

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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.