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Finding the Third Proportional to 87,378 and 187,206

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Solution

The third proportional to 87,378 and 187,206 is: 401,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,378 : 187,206 = 187,206 : x
  2. Step 2: Convert to fraction form
    87,378/187,206 = 187,206/x
  3. Step 3: Cross multiply
    87,378x = 187,206 × 187,206
  4. Step 4: Simplify right side
    87,378x = 35,046,086,436
  5. Step 5: Solve for x
    x = 35,046,086,436/87,378
  6. Step 6: Final answer
    x = 401,085.93

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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.