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Finding the Third Proportional to 81,415.13 and 107,299.69

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Solution

The third proportional to 81,415.13 and 107,299.69 is: 141,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,415.13 : 107,299.69 = 107,299.69 : x
  2. Step 2: Convert to fraction form
    81,415.13/107,299.69 = 107,299.69/x
  3. Step 3: Cross multiply
    81,415.13x = 107,299.69 × 107,299.69
  4. Step 4: Simplify right side
    81,415.13x = 11,513,222,937.60
  5. Step 5: Solve for x
    x = 11,513,222,937.60/81,415.13
  6. Step 6: Final answer
    x = 141,413.81

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.