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Finding the Third Proportional to 259,168 and 399,796

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Solution

The third proportional to 259,168 and 399,796 is: 616,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,168 : 399,796 = 399,796 : x
  2. Step 2: Convert to fraction form
    259,168/399,796 = 399,796/x
  3. Step 3: Cross multiply
    259,168x = 399,796 × 399,796
  4. Step 4: Simplify right side
    259,168x = 159,836,841,616
  5. Step 5: Solve for x
    x = 159,836,841,616/259,168
  6. Step 6: Final answer
    x = 616,730.62

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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.