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Finding the Third Proportional to 100,234.13 and 212,766.75

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Solution

The third proportional to 100,234.13 and 212,766.75 is: 451,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,234.13 : 212,766.75 = 212,766.75 : x
  2. Step 2: Convert to fraction form
    100,234.13/212,766.75 = 212,766.75/x
  3. Step 3: Cross multiply
    100,234.13x = 212,766.75 × 212,766.75
  4. Step 4: Simplify right side
    100,234.13x = 45,269,689,905.56
  5. Step 5: Solve for x
    x = 45,269,689,905.56/100,234.13
  6. Step 6: Final answer
    x = 451,639.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.