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Finding the Third Proportional to 198,327 and 436,020

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Solution

The third proportional to 198,327 and 436,020 is: 958,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,327 : 436,020 = 436,020 : x
  2. Step 2: Convert to fraction form
    198,327/436,020 = 436,020/x
  3. Step 3: Cross multiply
    198,327x = 436,020 × 436,020
  4. Step 4: Simplify right side
    198,327x = 190,113,440,400
  5. Step 5: Solve for x
    x = 190,113,440,400/198,327
  6. Step 6: Final answer
    x = 958,585.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.