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Finding the Third Proportional to 268,710 and 401,661

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Solution

The third proportional to 268,710 and 401,661 is: 600,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,710 : 401,661 = 401,661 : x
  2. Step 2: Convert to fraction form
    268,710/401,661 = 401,661/x
  3. Step 3: Cross multiply
    268,710x = 401,661 × 401,661
  4. Step 4: Simplify right side
    268,710x = 161,331,558,921
  5. Step 5: Solve for x
    x = 161,331,558,921/268,710
  6. Step 6: Final answer
    x = 600,392.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.