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Finding the Third Proportional to 258,769 and 396,490

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Solution

The third proportional to 258,769 and 396,490 is: 607,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,769 : 396,490 = 396,490 : x
  2. Step 2: Convert to fraction form
    258,769/396,490 = 396,490/x
  3. Step 3: Cross multiply
    258,769x = 396,490 × 396,490
  4. Step 4: Simplify right side
    258,769x = 157,204,320,100
  5. Step 5: Solve for x
    x = 157,204,320,100/258,769
  6. Step 6: Final answer
    x = 607,508.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.