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Finding the Third Proportional to 68,191.88 and 143,835.75

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Solution

The third proportional to 68,191.88 and 143,835.75 is: 303,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,191.88 : 143,835.75 = 143,835.75 : x
  2. Step 2: Convert to fraction form
    68,191.88/143,835.75 = 143,835.75/x
  3. Step 3: Cross multiply
    68,191.88x = 143,835.75 × 143,835.75
  4. Step 4: Simplify right side
    68,191.88x = 20,688,722,978.06
  5. Step 5: Solve for x
    x = 20,688,722,978.06/68,191.88
  6. Step 6: Final answer
    x = 303,389.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.