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Finding the Third Proportional to 338,991 and 512,861

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Solution

The third proportional to 338,991 and 512,861 is: 775,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,991 : 512,861 = 512,861 : x
  2. Step 2: Convert to fraction form
    338,991/512,861 = 512,861/x
  3. Step 3: Cross multiply
    338,991x = 512,861 × 512,861
  4. Step 4: Simplify right side
    338,991x = 263,026,405,321
  5. Step 5: Solve for x
    x = 263,026,405,321/338,991
  6. Step 6: Final answer
    x = 775,909.70

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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.