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Finding the Third Proportional to 87,210 and 188,357

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Solution

The third proportional to 87,210 and 188,357 is: 406,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,210 : 188,357 = 188,357 : x
  2. Step 2: Convert to fraction form
    87,210/188,357 = 188,357/x
  3. Step 3: Cross multiply
    87,210x = 188,357 × 188,357
  4. Step 4: Simplify right side
    87,210x = 35,478,359,449
  5. Step 5: Solve for x
    x = 35,478,359,449/87,210
  6. Step 6: Final answer
    x = 406,815.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.