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Finding the Third Proportional to 93,552 and 206,800

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Solution

The third proportional to 93,552 and 206,800 is: 457,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,552 : 206,800 = 206,800 : x
  2. Step 2: Convert to fraction form
    93,552/206,800 = 206,800/x
  3. Step 3: Cross multiply
    93,552x = 206,800 × 206,800
  4. Step 4: Simplify right side
    93,552x = 42,766,240,000
  5. Step 5: Solve for x
    x = 42,766,240,000/93,552
  6. Step 6: Final answer
    x = 457,138.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.