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Finding the Third Proportional to 180,420 and 408,068

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Solution

The third proportional to 180,420 and 408,068 is: 922,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,420 : 408,068 = 408,068 : x
  2. Step 2: Convert to fraction form
    180,420/408,068 = 408,068/x
  3. Step 3: Cross multiply
    180,420x = 408,068 × 408,068
  4. Step 4: Simplify right side
    180,420x = 166,519,492,624
  5. Step 5: Solve for x
    x = 166,519,492,624/180,420
  6. Step 6: Final answer
    x = 922,954.73

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.