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Finding the Third Proportional to 93,560 and 206,812

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Solution

The third proportional to 93,560 and 206,812 is: 457,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,560 : 206,812 = 206,812 : x
  2. Step 2: Convert to fraction form
    93,560/206,812 = 206,812/x
  3. Step 3: Cross multiply
    93,560x = 206,812 × 206,812
  4. Step 4: Simplify right side
    93,560x = 42,771,203,344
  5. Step 5: Solve for x
    x = 42,771,203,344/93,560
  6. Step 6: Final answer
    x = 457,152.67

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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.