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Finding the Third Proportional to 87,340 and 189,368

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Solution

The third proportional to 87,340 and 189,368 is: 410,582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,340 : 189,368 = 189,368 : x
  2. Step 2: Convert to fraction form
    87,340/189,368 = 189,368/x
  3. Step 3: Cross multiply
    87,340x = 189,368 × 189,368
  4. Step 4: Simplify right side
    87,340x = 35,860,239,424
  5. Step 5: Solve for x
    x = 35,860,239,424/87,340
  6. Step 6: Final answer
    x = 410,582.09

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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.