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Finding the Third Proportional to 133,347 and 206,337

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Solution

The third proportional to 133,347 and 206,337 is: 319,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,347 : 206,337 = 206,337 : x
  2. Step 2: Convert to fraction form
    133,347/206,337 = 206,337/x
  3. Step 3: Cross multiply
    133,347x = 206,337 × 206,337
  4. Step 4: Simplify right side
    133,347x = 42,574,957,569
  5. Step 5: Solve for x
    x = 42,574,957,569/133,347
  6. Step 6: Final answer
    x = 319,279.46

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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.