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Finding the Third Proportional to 68,811.75 and 101,940

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Solution

The third proportional to 68,811.75 and 101,940 is: 151,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,811.75 : 101,940 = 101,940 : x
  2. Step 2: Convert to fraction form
    68,811.75/101,940 = 101,940/x
  3. Step 3: Cross multiply
    68,811.75x = 101,940 × 101,940
  4. Step 4: Simplify right side
    68,811.75x = 10,391,763,600
  5. Step 5: Solve for x
    x = 10,391,763,600/68,811.75
  6. Step 6: Final answer
    x = 151,017.28

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.