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Finding the Third Proportional to 138,158 and 206,381

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Solution

The third proportional to 138,158 and 206,381 is: 308,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,158 : 206,381 = 206,381 : x
  2. Step 2: Convert to fraction form
    138,158/206,381 = 206,381/x
  3. Step 3: Cross multiply
    138,158x = 206,381 × 206,381
  4. Step 4: Simplify right side
    138,158x = 42,593,117,161
  5. Step 5: Solve for x
    x = 42,593,117,161/138,158
  6. Step 6: Final answer
    x = 308,292.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.