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Finding the Third Proportional to 268,718 and 401,672

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Solution

The third proportional to 268,718 and 401,672 is: 600,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,718 : 401,672 = 401,672 : x
  2. Step 2: Convert to fraction form
    268,718/401,672 = 401,672/x
  3. Step 3: Cross multiply
    268,718x = 401,672 × 401,672
  4. Step 4: Simplify right side
    268,718x = 161,340,395,584
  5. Step 5: Solve for x
    x = 161,340,395,584/268,718
  6. Step 6: Final answer
    x = 600,407.85

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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.