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Finding the Third Proportional to 256,608 and 617,417.44

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Solution

The third proportional to 256,608 and 617,417.44 is: 1,485,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,608 : 617,417.44 = 617,417.44 : x
  2. Step 2: Convert to fraction form
    256,608/617,417.44 = 617,417.44/x
  3. Step 3: Cross multiply
    256,608x = 617,417.44 × 617,417.44
  4. Step 4: Simplify right side
    256,608x = 381,204,292,129.07
  5. Step 5: Solve for x
    x = 381,204,292,129.07/256,608
  6. Step 6: Final answer
    x = 1,485,551.08

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.