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Finding the Third Proportional to 93,738 and 198,648.75

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Solution

The third proportional to 93,738 and 198,648.75 is: 420,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,738 : 198,648.75 = 198,648.75 : x
  2. Step 2: Convert to fraction form
    93,738/198,648.75 = 198,648.75/x
  3. Step 3: Cross multiply
    93,738x = 198,648.75 × 198,648.75
  4. Step 4: Simplify right side
    93,738x = 39,461,325,876.56
  5. Step 5: Solve for x
    x = 39,461,325,876.56/93,738
  6. Step 6: Final answer
    x = 420,974.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.