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Finding the Third Proportional to 422,072 and 922,480

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Solution

The third proportional to 422,072 and 922,480 is: 2,016,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,072 : 922,480 = 922,480 : x
  2. Step 2: Convert to fraction form
    422,072/922,480 = 922,480/x
  3. Step 3: Cross multiply
    422,072x = 922,480 × 922,480
  4. Step 4: Simplify right side
    422,072x = 850,969,350,400
  5. Step 5: Solve for x
    x = 850,969,350,400/422,072
  6. Step 6: Final answer
    x = 2,016,171.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.