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Finding the Third Proportional to 331,728.25 and 779,747.75

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Solution

The third proportional to 331,728.25 and 779,747.75 is: 1,832,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,728.25 : 779,747.75 = 779,747.75 : x
  2. Step 2: Convert to fraction form
    331,728.25/779,747.75 = 779,747.75/x
  3. Step 3: Cross multiply
    331,728.25x = 779,747.75 × 779,747.75
  4. Step 4: Simplify right side
    331,728.25x = 608,006,553,630.06
  5. Step 5: Solve for x
    x = 608,006,553,630.06/331,728.25
  6. Step 6: Final answer
    x = 1,832,845.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.