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Finding the Third Proportional to 131,413.50 and 285,896.81

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Solution

The third proportional to 131,413.50 and 285,896.81 is: 621,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,413.50 : 285,896.81 = 285,896.81 : x
  2. Step 2: Convert to fraction form
    131,413.50/285,896.81 = 285,896.81/x
  3. Step 3: Cross multiply
    131,413.50x = 285,896.81 × 285,896.81
  4. Step 4: Simplify right side
    131,413.50x = 81,736,987,397.66
  5. Step 5: Solve for x
    x = 81,736,987,397.66/131,413.50
  6. Step 6: Final answer
    x = 621,983.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.