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Finding the Third Proportional to 311,964 and 483,930

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Solution

The third proportional to 311,964 and 483,930 is: 750,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,964 : 483,930 = 483,930 : x
  2. Step 2: Convert to fraction form
    311,964/483,930 = 483,930/x
  3. Step 3: Cross multiply
    311,964x = 483,930 × 483,930
  4. Step 4: Simplify right side
    311,964x = 234,188,244,900
  5. Step 5: Solve for x
    x = 234,188,244,900/311,964
  6. Step 6: Final answer
    x = 750,689.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.