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Finding the Third Proportional to 87,656 and 189,320

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Solution

The third proportional to 87,656 and 189,320 is: 408,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,656 : 189,320 = 189,320 : x
  2. Step 2: Convert to fraction form
    87,656/189,320 = 189,320/x
  3. Step 3: Cross multiply
    87,656x = 189,320 × 189,320
  4. Step 4: Simplify right side
    87,656x = 35,842,062,400
  5. Step 5: Solve for x
    x = 35,842,062,400/87,656
  6. Step 6: Final answer
    x = 408,894.57

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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.