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Finding the Third Proportional to 157,557 and 206,811

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Solution

The third proportional to 157,557 and 206,811 is: 271,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,557 : 206,811 = 206,811 : x
  2. Step 2: Convert to fraction form
    157,557/206,811 = 206,811/x
  3. Step 3: Cross multiply
    157,557x = 206,811 × 206,811
  4. Step 4: Simplify right side
    157,557x = 42,770,789,721
  5. Step 5: Solve for x
    x = 42,770,789,721/157,557
  6. Step 6: Final answer
    x = 271,462.33

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.