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Finding the Third Proportional to 631,775.25 and 857,310.75

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Solution

The third proportional to 631,775.25 and 857,310.75 is: 1,163,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,775.25 : 857,310.75 = 857,310.75 : x
  2. Step 2: Convert to fraction form
    631,775.25/857,310.75 = 857,310.75/x
  3. Step 3: Cross multiply
    631,775.25x = 857,310.75 × 857,310.75
  4. Step 4: Simplify right side
    631,775.25x = 734,981,722,065.56
  5. Step 5: Solve for x
    x = 734,981,722,065.56/631,775.25
  6. Step 6: Final answer
    x = 1,163,359.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.