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Finding the Third Proportional to 87,685 and 193,243

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Solution

The third proportional to 87,685 and 193,243 is: 425,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,685 : 193,243 = 193,243 : x
  2. Step 2: Convert to fraction form
    87,685/193,243 = 193,243/x
  3. Step 3: Cross multiply
    87,685x = 193,243 × 193,243
  4. Step 4: Simplify right side
    87,685x = 37,342,857,049
  5. Step 5: Solve for x
    x = 37,342,857,049/87,685
  6. Step 6: Final answer
    x = 425,875.09

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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.