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Finding the Third Proportional to 68,753.81 and 141,790.50

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Solution

The third proportional to 68,753.81 and 141,790.50 is: 292,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,753.81 : 141,790.50 = 141,790.50 : x
  2. Step 2: Convert to fraction form
    68,753.81/141,790.50 = 141,790.50/x
  3. Step 3: Cross multiply
    68,753.81x = 141,790.50 × 141,790.50
  4. Step 4: Simplify right side
    68,753.81x = 20,104,545,890.25
  5. Step 5: Solve for x
    x = 20,104,545,890.25/68,753.81
  6. Step 6: Final answer
    x = 292,413.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.