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Finding the Third Proportional to 431,386.25 and 667,268.75

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Solution

The third proportional to 431,386.25 and 667,268.75 is: 1,032,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,386.25 : 667,268.75 = 667,268.75 : x
  2. Step 2: Convert to fraction form
    431,386.25/667,268.75 = 667,268.75/x
  3. Step 3: Cross multiply
    431,386.25x = 667,268.75 × 667,268.75
  4. Step 4: Simplify right side
    431,386.25x = 445,247,584,726.56
  5. Step 5: Solve for x
    x = 445,247,584,726.56/431,386.25
  6. Step 6: Final answer
    x = 1,032,132.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.