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Finding the Third Proportional to 318,328 and 496,863

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Solution

The third proportional to 318,328 and 496,863 is: 775,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,328 : 496,863 = 496,863 : x
  2. Step 2: Convert to fraction form
    318,328/496,863 = 496,863/x
  3. Step 3: Cross multiply
    318,328x = 496,863 × 496,863
  4. Step 4: Simplify right side
    318,328x = 246,872,840,769
  5. Step 5: Solve for x
    x = 246,872,840,769/318,328
  6. Step 6: Final answer
    x = 775,529.77

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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.