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Finding the Third Proportional to 93,536 and 198,600

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Solution

The third proportional to 93,536 and 198,600 is: 421,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,536 : 198,600 = 198,600 : x
  2. Step 2: Convert to fraction form
    93,536/198,600 = 198,600/x
  3. Step 3: Cross multiply
    93,536x = 198,600 × 198,600
  4. Step 4: Simplify right side
    93,536x = 39,441,960,000
  5. Step 5: Solve for x
    x = 39,441,960,000/93,536
  6. Step 6: Final answer
    x = 421,676.79

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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.