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Finding the Third Proportional to 132,795 and 205,618.50

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Solution

The third proportional to 132,795 and 205,618.50 is: 318,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,795 : 205,618.50 = 205,618.50 : x
  2. Step 2: Convert to fraction form
    132,795/205,618.50 = 205,618.50/x
  3. Step 3: Cross multiply
    132,795x = 205,618.50 × 205,618.50
  4. Step 4: Simplify right side
    132,795x = 42,278,967,542.25
  5. Step 5: Solve for x
    x = 42,278,967,542.25/132,795
  6. Step 6: Final answer
    x = 318,377.71

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