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Finding the Third Proportional to 86,078 and 185,368

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Solution

The third proportional to 86,078 and 185,368 is: 399,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,078 : 185,368 = 185,368 : x
  2. Step 2: Convert to fraction form
    86,078/185,368 = 185,368/x
  3. Step 3: Cross multiply
    86,078x = 185,368 × 185,368
  4. Step 4: Simplify right side
    86,078x = 34,361,295,424
  5. Step 5: Solve for x
    x = 34,361,295,424/86,078
  6. Step 6: Final answer
    x = 399,187.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.