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Finding the Third Proportional to 311,427.28 and 487,891.69

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Solution

The third proportional to 311,427.28 and 487,891.69 is: 764,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,427.28 : 487,891.69 = 487,891.69 : x
  2. Step 2: Convert to fraction form
    311,427.28/487,891.69 = 487,891.69/x
  3. Step 3: Cross multiply
    311,427.28x = 487,891.69 × 487,891.69
  4. Step 4: Simplify right side
    311,427.28x = 238,038,298,731.60
  5. Step 5: Solve for x
    x = 238,038,298,731.60/311,427.28
  6. Step 6: Final answer
    x = 764,346.33

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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.