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Finding the Third Proportional to 276,968.25 and 414,978.75

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Solution

The third proportional to 276,968.25 and 414,978.75 is: 621,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,968.25 : 414,978.75 = 414,978.75 : x
  2. Step 2: Convert to fraction form
    276,968.25/414,978.75 = 414,978.75/x
  3. Step 3: Cross multiply
    276,968.25x = 414,978.75 × 414,978.75
  4. Step 4: Simplify right side
    276,968.25x = 172,207,362,951.56
  5. Step 5: Solve for x
    x = 172,207,362,951.56/276,968.25
  6. Step 6: Final answer
    x = 621,758.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.