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Finding the Third Proportional to 180,660 and 268,378

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Solution

The third proportional to 180,660 and 268,378 is: 398,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,660 : 268,378 = 268,378 : x
  2. Step 2: Convert to fraction form
    180,660/268,378 = 268,378/x
  3. Step 3: Cross multiply
    180,660x = 268,378 × 268,378
  4. Step 4: Simplify right side
    180,660x = 72,026,750,884
  5. Step 5: Solve for x
    x = 72,026,750,884/180,660
  6. Step 6: Final answer
    x = 398,686.76

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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.