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Finding the Third Proportional to 140,989.50 and 306,825.75

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Solution

The third proportional to 140,989.50 and 306,825.75 is: 667,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,989.50 : 306,825.75 = 306,825.75 : x
  2. Step 2: Convert to fraction form
    140,989.50/306,825.75 = 306,825.75/x
  3. Step 3: Cross multiply
    140,989.50x = 306,825.75 × 306,825.75
  4. Step 4: Simplify right side
    140,989.50x = 94,142,040,863.06
  5. Step 5: Solve for x
    x = 94,142,040,863.06/140,989.50
  6. Step 6: Final answer
    x = 667,723.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.