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Finding the Third Proportional to 311,935 and 434,617

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Solution

The third proportional to 311,935 and 434,617 is: 605,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,935 : 434,617 = 434,617 : x
  2. Step 2: Convert to fraction form
    311,935/434,617 = 434,617/x
  3. Step 3: Cross multiply
    311,935x = 434,617 × 434,617
  4. Step 4: Simplify right side
    311,935x = 188,891,936,689
  5. Step 5: Solve for x
    x = 188,891,936,689/311,935
  6. Step 6: Final answer
    x = 605,549.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.