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Finding the Third Proportional to 138,139 and 206,356

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Solution

The third proportional to 138,139 and 206,356 is: 308,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,139 : 206,356 = 206,356 : x
  2. Step 2: Convert to fraction form
    138,139/206,356 = 206,356/x
  3. Step 3: Cross multiply
    138,139x = 206,356 × 206,356
  4. Step 4: Simplify right side
    138,139x = 42,582,798,736
  5. Step 5: Solve for x
    x = 42,582,798,736/138,139
  6. Step 6: Final answer
    x = 308,260.51

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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.