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Finding the Third Proportional to 86,690 and 189,906

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Solution

The third proportional to 86,690 and 189,906 is: 416,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,690 : 189,906 = 189,906 : x
  2. Step 2: Convert to fraction form
    86,690/189,906 = 189,906/x
  3. Step 3: Cross multiply
    86,690x = 189,906 × 189,906
  4. Step 4: Simplify right side
    86,690x = 36,064,288,836
  5. Step 5: Solve for x
    x = 36,064,288,836/86,690
  6. Step 6: Final answer
    x = 416,014.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.