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Finding the Third Proportional to 138,150 and 206,370

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Solution

The third proportional to 138,150 and 206,370 is: 308,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,150 : 206,370 = 206,370 : x
  2. Step 2: Convert to fraction form
    138,150/206,370 = 206,370/x
  3. Step 3: Cross multiply
    138,150x = 206,370 × 206,370
  4. Step 4: Simplify right side
    138,150x = 42,588,576,900
  5. Step 5: Solve for x
    x = 42,588,576,900/138,150
  6. Step 6: Final answer
    x = 308,277.79

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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.