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Finding the Third Proportional to 89,655 and 211,339

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Solution

The third proportional to 89,655 and 211,339 is: 498,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,655 : 211,339 = 211,339 : x
  2. Step 2: Convert to fraction form
    89,655/211,339 = 211,339/x
  3. Step 3: Cross multiply
    89,655x = 211,339 × 211,339
  4. Step 4: Simplify right side
    89,655x = 44,664,172,921
  5. Step 5: Solve for x
    x = 44,664,172,921/89,655
  6. Step 6: Final answer
    x = 498,178.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.