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Finding the Third Proportional to 318,388 and 496,950

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Solution

The third proportional to 318,388 and 496,950 is: 775,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,388 : 496,950 = 496,950 : x
  2. Step 2: Convert to fraction form
    318,388/496,950 = 496,950/x
  3. Step 3: Cross multiply
    318,388x = 496,950 × 496,950
  4. Step 4: Simplify right side
    318,388x = 246,959,302,500
  5. Step 5: Solve for x
    x = 246,959,302,500/318,388
  6. Step 6: Final answer
    x = 775,655.18

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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.