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Finding the Third Proportional to 180,696 and 268,428

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Solution

The third proportional to 180,696 and 268,428 is: 398,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,696 : 268,428 = 268,428 : x
  2. Step 2: Convert to fraction form
    180,696/268,428 = 268,428/x
  3. Step 3: Cross multiply
    180,696x = 268,428 × 268,428
  4. Step 4: Simplify right side
    180,696x = 72,053,591,184
  5. Step 5: Solve for x
    x = 72,053,591,184/180,696
  6. Step 6: Final answer
    x = 398,755.87

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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.