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Finding the Third Proportional to 181,616 and 422,038

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Solution

The third proportional to 181,616 and 422,038 is: 980,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,616 : 422,038 = 422,038 : x
  2. Step 2: Convert to fraction form
    181,616/422,038 = 422,038/x
  3. Step 3: Cross multiply
    181,616x = 422,038 × 422,038
  4. Step 4: Simplify right side
    181,616x = 178,116,073,444
  5. Step 5: Solve for x
    x = 178,116,073,444/181,616
  6. Step 6: Final answer
    x = 980,728.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.