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Finding the Third Proportional to 381,555 and 794,512.50

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Solution

The third proportional to 381,555 and 794,512.50 is: 1,654,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,555 : 794,512.50 = 794,512.50 : x
  2. Step 2: Convert to fraction form
    381,555/794,512.50 = 794,512.50/x
  3. Step 3: Cross multiply
    381,555x = 794,512.50 × 794,512.50
  4. Step 4: Simplify right side
    381,555x = 631,250,112,656.25
  5. Step 5: Solve for x
    x = 631,250,112,656.25/381,555
  6. Step 6: Final answer
    x = 1,654,414.47

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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.