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Finding the Third Proportional to 259,247 and 399,925

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Solution

The third proportional to 259,247 and 399,925 is: 616,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,247 : 399,925 = 399,925 : x
  2. Step 2: Convert to fraction form
    259,247/399,925 = 399,925/x
  3. Step 3: Cross multiply
    259,247x = 399,925 × 399,925
  4. Step 4: Simplify right side
    259,247x = 159,940,005,625
  5. Step 5: Solve for x
    x = 159,940,005,625/259,247
  6. Step 6: Final answer
    x = 616,940.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.