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Finding the Third Proportional to 268,856.75 and 412,684.50

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Solution

The third proportional to 268,856.75 and 412,684.50 is: 633,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,856.75 : 412,684.50 = 412,684.50 : x
  2. Step 2: Convert to fraction form
    268,856.75/412,684.50 = 412,684.50/x
  3. Step 3: Cross multiply
    268,856.75x = 412,684.50 × 412,684.50
  4. Step 4: Simplify right side
    268,856.75x = 170,308,496,540.25
  5. Step 5: Solve for x
    x = 170,308,496,540.25/268,856.75
  6. Step 6: Final answer
    x = 633,454.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.