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Finding the Third Proportional to 138,957 and 293,226

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Solution

The third proportional to 138,957 and 293,226 is: 618,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,957 : 293,226 = 293,226 : x
  2. Step 2: Convert to fraction form
    138,957/293,226 = 293,226/x
  3. Step 3: Cross multiply
    138,957x = 293,226 × 293,226
  4. Step 4: Simplify right side
    138,957x = 85,981,487,076
  5. Step 5: Solve for x
    x = 85,981,487,076/138,957
  6. Step 6: Final answer
    x = 618,763.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.