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Finding the Third Proportional to 87,336 and 187,122

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Solution

The third proportional to 87,336 and 187,122 is: 400,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,336 : 187,122 = 187,122 : x
  2. Step 2: Convert to fraction form
    87,336/187,122 = 187,122/x
  3. Step 3: Cross multiply
    87,336x = 187,122 × 187,122
  4. Step 4: Simplify right side
    87,336x = 35,014,642,884
  5. Step 5: Solve for x
    x = 35,014,642,884/87,336
  6. Step 6: Final answer
    x = 400,918.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.