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Finding the Third Proportional to 87,364 and 189,564

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Solution

The third proportional to 87,364 and 189,564 is: 411,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,364 : 189,564 = 189,564 : x
  2. Step 2: Convert to fraction form
    87,364/189,564 = 189,564/x
  3. Step 3: Cross multiply
    87,364x = 189,564 × 189,564
  4. Step 4: Simplify right side
    87,364x = 35,934,510,096
  5. Step 5: Solve for x
    x = 35,934,510,096/87,364
  6. Step 6: Final answer
    x = 411,319.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.