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Finding the Third Proportional to 218,496 and 335,616

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Solution

The third proportional to 218,496 and 335,616 is: 515,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,496 : 335,616 = 335,616 : x
  2. Step 2: Convert to fraction form
    218,496/335,616 = 335,616/x
  3. Step 3: Cross multiply
    218,496x = 335,616 × 335,616
  4. Step 4: Simplify right side
    218,496x = 112,638,099,456
  5. Step 5: Solve for x
    x = 112,638,099,456/218,496
  6. Step 6: Final answer
    x = 515,515.61

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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.