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Finding the Third Proportional to 118,191 and 252,987

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Solution

The third proportional to 118,191 and 252,987 is: 541,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,191 : 252,987 = 252,987 : x
  2. Step 2: Convert to fraction form
    118,191/252,987 = 252,987/x
  3. Step 3: Cross multiply
    118,191x = 252,987 × 252,987
  4. Step 4: Simplify right side
    118,191x = 64,002,422,169
  5. Step 5: Solve for x
    x = 64,002,422,169/118,191
  6. Step 6: Final answer
    x = 541,516.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.