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Finding the Third Proportional to 198,158 and 427,900

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Solution

The third proportional to 198,158 and 427,900 is: 924,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,158 : 427,900 = 427,900 : x
  2. Step 2: Convert to fraction form
    198,158/427,900 = 427,900/x
  3. Step 3: Cross multiply
    198,158x = 427,900 × 427,900
  4. Step 4: Simplify right side
    198,158x = 183,098,410,000
  5. Step 5: Solve for x
    x = 183,098,410,000/198,158
  6. Step 6: Final answer
    x = 924,002.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.