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Finding the Third Proportional to 138,146 and 206,366

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Solution

The third proportional to 138,146 and 206,366 is: 308,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,146 : 206,366 = 206,366 : x
  2. Step 2: Convert to fraction form
    138,146/206,366 = 206,366/x
  3. Step 3: Cross multiply
    138,146x = 206,366 × 206,366
  4. Step 4: Simplify right side
    138,146x = 42,586,925,956
  5. Step 5: Solve for x
    x = 42,586,925,956/138,146
  6. Step 6: Final answer
    x = 308,274.77

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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.