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Finding the Third Proportional to 89,427 and 198,537

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Solution

The third proportional to 89,427 and 198,537 is: 440,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,427 : 198,537 = 198,537 : x
  2. Step 2: Convert to fraction form
    89,427/198,537 = 198,537/x
  3. Step 3: Cross multiply
    89,427x = 198,537 × 198,537
  4. Step 4: Simplify right side
    89,427x = 39,416,940,369
  5. Step 5: Solve for x
    x = 39,416,940,369/89,427
  6. Step 6: Final answer
    x = 440,772.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.