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Finding the Third Proportional to 312,422.25 and 646,997.25

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Solution

The third proportional to 312,422.25 and 646,997.25 is: 1,339,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,422.25 : 646,997.25 = 646,997.25 : x
  2. Step 2: Convert to fraction form
    312,422.25/646,997.25 = 646,997.25/x
  3. Step 3: Cross multiply
    312,422.25x = 646,997.25 × 646,997.25
  4. Step 4: Simplify right side
    312,422.25x = 418,605,441,507.56
  5. Step 5: Solve for x
    x = 418,605,441,507.56/312,422.25
  6. Step 6: Final answer
    x = 1,339,870.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.