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Finding the Third Proportional to 84,413.53 and 199,261.41

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Solution

The third proportional to 84,413.53 and 199,261.41 is: 470,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,413.53 : 199,261.41 = 199,261.41 : x
  2. Step 2: Convert to fraction form
    84,413.53/199,261.41 = 199,261.41/x
  3. Step 3: Cross multiply
    84,413.53x = 199,261.41 × 199,261.41
  4. Step 4: Simplify right side
    84,413.53x = 39,705,108,020.73
  5. Step 5: Solve for x
    x = 39,705,108,020.73/84,413.53
  6. Step 6: Final answer
    x = 470,364.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.