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Finding the Third Proportional to 258,562 and 400,131

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Solution

The third proportional to 258,562 and 400,131 is: 619,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,562 : 400,131 = 400,131 : x
  2. Step 2: Convert to fraction form
    258,562/400,131 = 400,131/x
  3. Step 3: Cross multiply
    258,562x = 400,131 × 400,131
  4. Step 4: Simplify right side
    258,562x = 160,104,817,161
  5. Step 5: Solve for x
    x = 160,104,817,161/258,562
  6. Step 6: Final answer
    x = 619,212.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.