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Finding the Third Proportional to 68,040 and 108,076.50

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Solution

The third proportional to 68,040 and 108,076.50 is: 171,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,040 : 108,076.50 = 108,076.50 : x
  2. Step 2: Convert to fraction form
    68,040/108,076.50 = 108,076.50/x
  3. Step 3: Cross multiply
    68,040x = 108,076.50 × 108,076.50
  4. Step 4: Simplify right side
    68,040x = 11,680,529,852.25
  5. Step 5: Solve for x
    x = 11,680,529,852.25/68,040
  6. Step 6: Final answer
    x = 171,671.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.