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Finding the Third Proportional to 133,758 and 207,778.50

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Solution

The third proportional to 133,758 and 207,778.50 is: 322,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,758 : 207,778.50 = 207,778.50 : x
  2. Step 2: Convert to fraction form
    133,758/207,778.50 = 207,778.50/x
  3. Step 3: Cross multiply
    133,758x = 207,778.50 × 207,778.50
  4. Step 4: Simplify right side
    133,758x = 43,171,905,062.25
  5. Step 5: Solve for x
    x = 43,171,905,062.25/133,758
  6. Step 6: Final answer
    x = 322,761.29

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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.