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Finding the Third Proportional to 21,718.13 and 50,478.19

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Solution

The third proportional to 21,718.13 and 50,478.19 is: 117,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,718.13 : 50,478.19 = 50,478.19 : x
  2. Step 2: Convert to fraction form
    21,718.13/50,478.19 = 50,478.19/x
  3. Step 3: Cross multiply
    21,718.13x = 50,478.19 × 50,478.19
  4. Step 4: Simplify right side
    21,718.13x = 2,548,047,413.29
  5. Step 5: Solve for x
    x = 2,548,047,413.29/21,718.13
  6. Step 6: Final answer
    x = 117,323.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.