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Finding the Third Proportional to 81,720 and 193,217

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Solution

The third proportional to 81,720 and 193,217 is: 456,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,720 : 193,217 = 193,217 : x
  2. Step 2: Convert to fraction form
    81,720/193,217 = 193,217/x
  3. Step 3: Cross multiply
    81,720x = 193,217 × 193,217
  4. Step 4: Simplify right side
    81,720x = 37,332,809,089
  5. Step 5: Solve for x
    x = 37,332,809,089/81,720
  6. Step 6: Final answer
    x = 456,838.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.