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Finding the Third Proportional to 328,450 and 706,012

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Solution

The third proportional to 328,450 and 706,012 is: 1,517,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,450 : 706,012 = 706,012 : x
  2. Step 2: Convert to fraction form
    328,450/706,012 = 706,012/x
  3. Step 3: Cross multiply
    328,450x = 706,012 × 706,012
  4. Step 4: Simplify right side
    328,450x = 498,452,944,144
  5. Step 5: Solve for x
    x = 498,452,944,144/328,450
  6. Step 6: Final answer
    x = 1,517,591.55

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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.