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Finding the Third Proportional to 133,072 and 206,441

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Solution

The third proportional to 133,072 and 206,441 is: 320,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,072 : 206,441 = 206,441 : x
  2. Step 2: Convert to fraction form
    133,072/206,441 = 206,441/x
  3. Step 3: Cross multiply
    133,072x = 206,441 × 206,441
  4. Step 4: Simplify right side
    133,072x = 42,617,886,481
  5. Step 5: Solve for x
    x = 42,617,886,481/133,072
  6. Step 6: Final answer
    x = 320,261.86

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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.