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Finding the Third Proportional to 68,031.75 and 143,626.50

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Solution

The third proportional to 68,031.75 and 143,626.50 is: 303,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,031.75 : 143,626.50 = 143,626.50 : x
  2. Step 2: Convert to fraction form
    68,031.75/143,626.50 = 143,626.50/x
  3. Step 3: Cross multiply
    68,031.75x = 143,626.50 × 143,626.50
  4. Step 4: Simplify right side
    68,031.75x = 20,628,571,502.25
  5. Step 5: Solve for x
    x = 20,628,571,502.25/68,031.75
  6. Step 6: Final answer
    x = 303,219.77

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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.