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Finding the Third Proportional to 141,278.25 and 211,917.75

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Solution

The third proportional to 141,278.25 and 211,917.75 is: 317,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,278.25 : 211,917.75 = 211,917.75 : x
  2. Step 2: Convert to fraction form
    141,278.25/211,917.75 = 211,917.75/x
  3. Step 3: Cross multiply
    141,278.25x = 211,917.75 × 211,917.75
  4. Step 4: Simplify right side
    141,278.25x = 44,909,132,765.06
  5. Step 5: Solve for x
    x = 44,909,132,765.06/141,278.25
  6. Step 6: Final answer
    x = 317,877.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.