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Finding the Third Proportional to 331,686 and 498,500

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Solution

The third proportional to 331,686 and 498,500 is: 749,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,686 : 498,500 = 498,500 : x
  2. Step 2: Convert to fraction form
    331,686/498,500 = 498,500/x
  3. Step 3: Cross multiply
    331,686x = 498,500 × 498,500
  4. Step 4: Simplify right side
    331,686x = 248,502,250,000
  5. Step 5: Solve for x
    x = 248,502,250,000/331,686
  6. Step 6: Final answer
    x = 749,209.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.