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Finding the Third Proportional to 9,413.25 and 20,077.50

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Solution

The third proportional to 9,413.25 and 20,077.50 is: 42,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.25 : 20,077.50 = 20,077.50 : x
  2. Step 2: Convert to fraction form
    9,413.25/20,077.50 = 20,077.50/x
  3. Step 3: Cross multiply
    9,413.25x = 20,077.50 × 20,077.50
  4. Step 4: Simplify right side
    9,413.25x = 403,106,006.25
  5. Step 5: Solve for x
    x = 403,106,006.25/9,413.25
  6. Step 6: Final answer
    x = 42,823.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.