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Finding the Third Proportional to 548,320.50 and 817,917

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Solution

The third proportional to 548,320.50 and 817,917 is: 1,220,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,320.50 : 817,917 = 817,917 : x
  2. Step 2: Convert to fraction form
    548,320.50/817,917 = 817,917/x
  3. Step 3: Cross multiply
    548,320.50x = 817,917 × 817,917
  4. Step 4: Simplify right side
    548,320.50x = 668,988,218,889
  5. Step 5: Solve for x
    x = 668,988,218,889/548,320.50
  6. Step 6: Final answer
    x = 1,220,067.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.