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Finding the Third Proportional to 311,489.25 and 487,993.50

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Solution

The third proportional to 311,489.25 and 487,993.50 is: 764,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,489.25 : 487,993.50 = 487,993.50 : x
  2. Step 2: Convert to fraction form
    311,489.25/487,993.50 = 487,993.50/x
  3. Step 3: Cross multiply
    311,489.25x = 487,993.50 × 487,993.50
  4. Step 4: Simplify right side
    311,489.25x = 238,137,656,042.25
  5. Step 5: Solve for x
    x = 238,137,656,042.25/311,489.25
  6. Step 6: Final answer
    x = 764,513.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.