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Finding the Third Proportional to 65,204.21 and 137,413.65

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Solution

The third proportional to 65,204.21 and 137,413.65 is: 289,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,204.21 : 137,413.65 = 137,413.65 : x
  2. Step 2: Convert to fraction form
    65,204.21/137,413.65 = 137,413.65/x
  3. Step 3: Cross multiply
    65,204.21x = 137,413.65 × 137,413.65
  4. Step 4: Simplify right side
    65,204.21x = 18,882,511,850.45
  5. Step 5: Solve for x
    x = 18,882,511,850.45/65,204.21
  6. Step 6: Final answer
    x = 289,590.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.