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Finding the Third Proportional to 259,249 and 399,928

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Solution

The third proportional to 259,249 and 399,928 is: 616,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,249 : 399,928 = 399,928 : x
  2. Step 2: Convert to fraction form
    259,249/399,928 = 399,928/x
  3. Step 3: Cross multiply
    259,249x = 399,928 × 399,928
  4. Step 4: Simplify right side
    259,249x = 159,942,405,184
  5. Step 5: Solve for x
    x = 159,942,405,184/259,249
  6. Step 6: Final answer
    x = 616,945.12

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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.