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Finding the Third Proportional to 149,238 and 206,844

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Solution

The third proportional to 149,238 and 206,844 is: 286,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,238 : 206,844 = 206,844 : x
  2. Step 2: Convert to fraction form
    149,238/206,844 = 206,844/x
  3. Step 3: Cross multiply
    149,238x = 206,844 × 206,844
  4. Step 4: Simplify right side
    149,238x = 42,784,440,336
  5. Step 5: Solve for x
    x = 42,784,440,336/149,238
  6. Step 6: Final answer
    x = 286,685.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.