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Finding the Third Proportional to 86,138 and 184,729

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Solution

The third proportional to 86,138 and 184,729 is: 396,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,138 : 184,729 = 184,729 : x
  2. Step 2: Convert to fraction form
    86,138/184,729 = 184,729/x
  3. Step 3: Cross multiply
    86,138x = 184,729 × 184,729
  4. Step 4: Simplify right side
    86,138x = 34,124,803,441
  5. Step 5: Solve for x
    x = 34,124,803,441/86,138
  6. Step 6: Final answer
    x = 396,164.33

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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.