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Finding the Third Proportional to 86,601 and 187,998

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Solution

The third proportional to 86,601 and 187,998 is: 408,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,601 : 187,998 = 187,998 : x
  2. Step 2: Convert to fraction form
    86,601/187,998 = 187,998/x
  3. Step 3: Cross multiply
    86,601x = 187,998 × 187,998
  4. Step 4: Simplify right side
    86,601x = 35,343,248,004
  5. Step 5: Solve for x
    x = 35,343,248,004/86,601
  6. Step 6: Final answer
    x = 408,115.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.