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Finding the Third Proportional to 133,092 and 206,419

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Solution

The third proportional to 133,092 and 206,419 is: 320,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,092 : 206,419 = 206,419 : x
  2. Step 2: Convert to fraction form
    133,092/206,419 = 206,419/x
  3. Step 3: Cross multiply
    133,092x = 206,419 × 206,419
  4. Step 4: Simplify right side
    133,092x = 42,608,803,561
  5. Step 5: Solve for x
    x = 42,608,803,561/133,092
  6. Step 6: Final answer
    x = 320,145.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.