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Finding the Third Proportional to 311,796 and 485,919

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Solution

The third proportional to 311,796 and 485,919 is: 757,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,796 : 485,919 = 485,919 : x
  2. Step 2: Convert to fraction form
    311,796/485,919 = 485,919/x
  3. Step 3: Cross multiply
    311,796x = 485,919 × 485,919
  4. Step 4: Simplify right side
    311,796x = 236,117,274,561
  5. Step 5: Solve for x
    x = 236,117,274,561/311,796
  6. Step 6: Final answer
    x = 757,281.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.