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Finding the Third Proportional to 259,049 and 399,647

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Solution

The third proportional to 259,049 and 399,647 is: 616,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,049 : 399,647 = 399,647 : x
  2. Step 2: Convert to fraction form
    259,049/399,647 = 399,647/x
  3. Step 3: Cross multiply
    259,049x = 399,647 × 399,647
  4. Step 4: Simplify right side
    259,049x = 159,717,724,609
  5. Step 5: Solve for x
    x = 159,717,724,609/259,049
  6. Step 6: Final answer
    x = 616,554.11

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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.