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Finding the Third Proportional to 318,330 and 496,869

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Solution

The third proportional to 318,330 and 496,869 is: 775,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,330 : 496,869 = 496,869 : x
  2. Step 2: Convert to fraction form
    318,330/496,869 = 496,869/x
  3. Step 3: Cross multiply
    318,330x = 496,869 × 496,869
  4. Step 4: Simplify right side
    318,330x = 246,878,803,161
  5. Step 5: Solve for x
    x = 246,878,803,161/318,330
  6. Step 6: Final answer
    x = 775,543.63

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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.