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Finding the Third Proportional to 9,480 and 20,413.50

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Solution

The third proportional to 9,480 and 20,413.50 is: 43,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480 : 20,413.50 = 20,413.50 : x
  2. Step 2: Convert to fraction form
    9,480/20,413.50 = 20,413.50/x
  3. Step 3: Cross multiply
    9,480x = 20,413.50 × 20,413.50
  4. Step 4: Simplify right side
    9,480x = 416,710,982.25
  5. Step 5: Solve for x
    x = 416,710,982.25/9,480
  6. Step 6: Final answer
    x = 43,956.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.