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Finding the Third Proportional to 123,386.25 and 256,107.75

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Solution

The third proportional to 123,386.25 and 256,107.75 is: 531,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,386.25 : 256,107.75 = 256,107.75 : x
  2. Step 2: Convert to fraction form
    123,386.25/256,107.75 = 256,107.75/x
  3. Step 3: Cross multiply
    123,386.25x = 256,107.75 × 256,107.75
  4. Step 4: Simplify right side
    123,386.25x = 65,591,179,610.06
  5. Step 5: Solve for x
    x = 65,591,179,610.06/123,386.25
  6. Step 6: Final answer
    x = 531,592.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.