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Finding the Third Proportional to 86,200.88 and 138,413.81

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Solution

The third proportional to 86,200.88 and 138,413.81 is: 222,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,200.88 : 138,413.81 = 138,413.81 : x
  2. Step 2: Convert to fraction form
    86,200.88/138,413.81 = 138,413.81/x
  3. Step 3: Cross multiply
    86,200.88x = 138,413.81 × 138,413.81
  4. Step 4: Simplify right side
    86,200.88x = 19,158,383,490.79
  5. Step 5: Solve for x
    x = 19,158,383,490.79/86,200.88
  6. Step 6: Final answer
    x = 222,252.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.