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Finding the Third Proportional to 122,588 and 268,144

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Solution

The third proportional to 122,588 and 268,144 is: 586,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,588 : 268,144 = 268,144 : x
  2. Step 2: Convert to fraction form
    122,588/268,144 = 268,144/x
  3. Step 3: Cross multiply
    122,588x = 268,144 × 268,144
  4. Step 4: Simplify right side
    122,588x = 71,901,204,736
  5. Step 5: Solve for x
    x = 71,901,204,736/122,588
  6. Step 6: Final answer
    x = 586,527.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.