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Finding the Third Proportional to 265,562 and 398,631

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Solution

The third proportional to 265,562 and 398,631 is: 598,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,562 : 398,631 = 398,631 : x
  2. Step 2: Convert to fraction form
    265,562/398,631 = 398,631/x
  3. Step 3: Cross multiply
    265,562x = 398,631 × 398,631
  4. Step 4: Simplify right side
    265,562x = 158,906,674,161
  5. Step 5: Solve for x
    x = 158,906,674,161/265,562
  6. Step 6: Final answer
    x = 598,378.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.