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Finding the Third Proportional to 118,192 and 252,988

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Solution

The third proportional to 118,192 and 252,988 is: 541,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,192 : 252,988 = 252,988 : x
  2. Step 2: Convert to fraction form
    118,192/252,988 = 252,988/x
  3. Step 3: Cross multiply
    118,192x = 252,988 × 252,988
  4. Step 4: Simplify right side
    118,192x = 64,002,928,144
  5. Step 5: Solve for x
    x = 64,002,928,144/118,192
  6. Step 6: Final answer
    x = 541,516.58

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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.