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Finding the Third Proportional to 87,800 and 189,784

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Solution

The third proportional to 87,800 and 189,784 is: 410,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,800 : 189,784 = 189,784 : x
  2. Step 2: Convert to fraction form
    87,800/189,784 = 189,784/x
  3. Step 3: Cross multiply
    87,800x = 189,784 × 189,784
  4. Step 4: Simplify right side
    87,800x = 36,017,966,656
  5. Step 5: Solve for x
    x = 36,017,966,656/87,800
  6. Step 6: Final answer
    x = 410,227.41

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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.