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Finding the Third Proportional to 331,722 and 499,247

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Solution

The third proportional to 331,722 and 499,247 is: 751,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,722 : 499,247 = 499,247 : x
  2. Step 2: Convert to fraction form
    331,722/499,247 = 499,247/x
  3. Step 3: Cross multiply
    331,722x = 499,247 × 499,247
  4. Step 4: Simplify right side
    331,722x = 249,247,567,009
  5. Step 5: Solve for x
    x = 249,247,567,009/331,722
  6. Step 6: Final answer
    x = 751,374.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.