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Finding the Third Proportional to 180,628 and 268,332

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Solution

The third proportional to 180,628 and 268,332 is: 398,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,628 : 268,332 = 268,332 : x
  2. Step 2: Convert to fraction form
    180,628/268,332 = 268,332/x
  3. Step 3: Cross multiply
    180,628x = 268,332 × 268,332
  4. Step 4: Simplify right side
    180,628x = 72,002,062,224
  5. Step 5: Solve for x
    x = 72,002,062,224/180,628
  6. Step 6: Final answer
    x = 398,620.71

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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.