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Finding the Third Proportional to 300,882.09 and 615,598.31

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Solution

The third proportional to 300,882.09 and 615,598.31 is: 1,259,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,882.09 : 615,598.31 = 615,598.31 : x
  2. Step 2: Convert to fraction form
    300,882.09/615,598.31 = 615,598.31/x
  3. Step 3: Cross multiply
    300,882.09x = 615,598.31 × 615,598.31
  4. Step 4: Simplify right side
    300,882.09x = 378,961,282,352.85
  5. Step 5: Solve for x
    x = 378,961,282,352.85/300,882.09
  6. Step 6: Final answer
    x = 1,259,500.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.