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Finding the Third Proportional to 90,702 and 211,804

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Solution

The third proportional to 90,702 and 211,804 is: 494,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,702 : 211,804 = 211,804 : x
  2. Step 2: Convert to fraction form
    90,702/211,804 = 211,804/x
  3. Step 3: Cross multiply
    90,702x = 211,804 × 211,804
  4. Step 4: Simplify right side
    90,702x = 44,860,934,416
  5. Step 5: Solve for x
    x = 44,860,934,416/90,702
  6. Step 6: Final answer
    x = 494,596.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.