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Finding the Third Proportional to 89,602 and 192,486

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Solution

The third proportional to 89,602 and 192,486 is: 413,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,602 : 192,486 = 192,486 : x
  2. Step 2: Convert to fraction form
    89,602/192,486 = 192,486/x
  3. Step 3: Cross multiply
    89,602x = 192,486 × 192,486
  4. Step 4: Simplify right side
    89,602x = 37,050,860,196
  5. Step 5: Solve for x
    x = 37,050,860,196/89,602
  6. Step 6: Final answer
    x = 413,504.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.