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Finding the Third Proportional to 93,720 and 205,872

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Solution

The third proportional to 93,720 and 205,872 is: 452,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,720 : 205,872 = 205,872 : x
  2. Step 2: Convert to fraction form
    93,720/205,872 = 205,872/x
  3. Step 3: Cross multiply
    93,720x = 205,872 × 205,872
  4. Step 4: Simplify right side
    93,720x = 42,383,280,384
  5. Step 5: Solve for x
    x = 42,383,280,384/93,720
  6. Step 6: Final answer
    x = 452,233.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.