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Finding the Third Proportional to 198,232 and 422,072

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Solution

The third proportional to 198,232 and 422,072 is: 898,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,232 : 422,072 = 422,072 : x
  2. Step 2: Convert to fraction form
    198,232/422,072 = 422,072/x
  3. Step 3: Cross multiply
    198,232x = 422,072 × 422,072
  4. Step 4: Simplify right side
    198,232x = 178,144,773,184
  5. Step 5: Solve for x
    x = 178,144,773,184/198,232
  6. Step 6: Final answer
    x = 898,668.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.