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Finding the Third Proportional to 51,849 and 121,413.75

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Solution

The third proportional to 51,849 and 121,413.75 is: 284,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,849 : 121,413.75 = 121,413.75 : x
  2. Step 2: Convert to fraction form
    51,849/121,413.75 = 121,413.75/x
  3. Step 3: Cross multiply
    51,849x = 121,413.75 × 121,413.75
  4. Step 4: Simplify right side
    51,849x = 14,741,298,689.06
  5. Step 5: Solve for x
    x = 14,741,298,689.06/51,849
  6. Step 6: Final answer
    x = 284,312.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.