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Finding the Third Proportional to 100,382 and 133,826.25

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Solution

The third proportional to 100,382 and 133,826.25 is: 178,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,382 : 133,826.25 = 133,826.25 : x
  2. Step 2: Convert to fraction form
    100,382/133,826.25 = 133,826.25/x
  3. Step 3: Cross multiply
    100,382x = 133,826.25 × 133,826.25
  4. Step 4: Simplify right side
    100,382x = 17,909,465,189.06
  5. Step 5: Solve for x
    x = 17,909,465,189.06/100,382
  6. Step 6: Final answer
    x = 178,413.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.