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Finding the Third Proportional to 133,206 and 278,727

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Solution

The third proportional to 133,206 and 278,727 is: 583,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,206 : 278,727 = 278,727 : x
  2. Step 2: Convert to fraction form
    133,206/278,727 = 278,727/x
  3. Step 3: Cross multiply
    133,206x = 278,727 × 278,727
  4. Step 4: Simplify right side
    133,206x = 77,688,740,529
  5. Step 5: Solve for x
    x = 77,688,740,529/133,206
  6. Step 6: Final answer
    x = 583,222.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.