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Finding the Third Proportional to 131,268.75 and 191,159.25

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Solution

The third proportional to 131,268.75 and 191,159.25 is: 278,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,268.75 : 191,159.25 = 191,159.25 : x
  2. Step 2: Convert to fraction form
    131,268.75/191,159.25 = 191,159.25/x
  3. Step 3: Cross multiply
    131,268.75x = 191,159.25 × 191,159.25
  4. Step 4: Simplify right side
    131,268.75x = 36,541,858,860.56
  5. Step 5: Solve for x
    x = 36,541,858,860.56/131,268.75
  6. Step 6: Final answer
    x = 278,374.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.