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Finding the Third Proportional to 119,439 and 254,238

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Solution

The third proportional to 119,439 and 254,238 is: 541,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,439 : 254,238 = 254,238 : x
  2. Step 2: Convert to fraction form
    119,439/254,238 = 254,238/x
  3. Step 3: Cross multiply
    119,439x = 254,238 × 254,238
  4. Step 4: Simplify right side
    119,439x = 64,636,960,644
  5. Step 5: Solve for x
    x = 64,636,960,644/119,439
  6. Step 6: Final answer
    x = 541,171.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.