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Finding the Third Proportional to 133,788 and 206,562

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Solution

The third proportional to 133,788 and 206,562 is: 318,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,788 : 206,562 = 206,562 : x
  2. Step 2: Convert to fraction form
    133,788/206,562 = 206,562/x
  3. Step 3: Cross multiply
    133,788x = 206,562 × 206,562
  4. Step 4: Simplify right side
    133,788x = 42,667,859,844
  5. Step 5: Solve for x
    x = 42,667,859,844/133,788
  6. Step 6: Final answer
    x = 318,921.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.