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Finding the Third Proportional to 86,051 and 189,121

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Solution

The third proportional to 86,051 and 189,121 is: 415,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,051 : 189,121 = 189,121 : x
  2. Step 2: Convert to fraction form
    86,051/189,121 = 189,121/x
  3. Step 3: Cross multiply
    86,051x = 189,121 × 189,121
  4. Step 4: Simplify right side
    86,051x = 35,766,752,641
  5. Step 5: Solve for x
    x = 35,766,752,641/86,051
  6. Step 6: Final answer
    x = 415,645.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.