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Finding the Third Proportional to 311,760 and 753,804

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Solution

The third proportional to 311,760 and 753,804 is: 1,822,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,760 : 753,804 = 753,804 : x
  2. Step 2: Convert to fraction form
    311,760/753,804 = 753,804/x
  3. Step 3: Cross multiply
    311,760x = 753,804 × 753,804
  4. Step 4: Simplify right side
    311,760x = 568,220,470,416
  5. Step 5: Solve for x
    x = 568,220,470,416/311,760
  6. Step 6: Final answer
    x = 1,822,621.47

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.