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Finding the Third Proportional to 259,197 and 400,458

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Solution

The third proportional to 259,197 and 400,458 is: 618,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,197 : 400,458 = 400,458 : x
  2. Step 2: Convert to fraction form
    259,197/400,458 = 400,458/x
  3. Step 3: Cross multiply
    259,197x = 400,458 × 400,458
  4. Step 4: Simplify right side
    259,197x = 160,366,609,764
  5. Step 5: Solve for x
    x = 160,366,609,764/259,197
  6. Step 6: Final answer
    x = 618,705.50

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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.