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Finding the Third Proportional to 87,386 and 189,054

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Solution

The third proportional to 87,386 and 189,054 is: 409,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,386 : 189,054 = 189,054 : x
  2. Step 2: Convert to fraction form
    87,386/189,054 = 189,054/x
  3. Step 3: Cross multiply
    87,386x = 189,054 × 189,054
  4. Step 4: Simplify right side
    87,386x = 35,741,414,916
  5. Step 5: Solve for x
    x = 35,741,414,916/87,386
  6. Step 6: Final answer
    x = 409,006.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.