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Finding the Third Proportional to 182,599.31 and 398,413.69

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Solution

The third proportional to 182,599.31 and 398,413.69 is: 869,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,599.31 : 398,413.69 = 398,413.69 : x
  2. Step 2: Convert to fraction form
    182,599.31/398,413.69 = 398,413.69/x
  3. Step 3: Cross multiply
    182,599.31x = 398,413.69 × 398,413.69
  4. Step 4: Simplify right side
    182,599.31x = 158,733,466,387.35
  5. Step 5: Solve for x
    x = 158,733,466,387.35/182,599.31
  6. Step 6: Final answer
    x = 869,299.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.