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Finding the Third Proportional to 90,740 and 211,892

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Solution

The third proportional to 90,740 and 211,892 is: 494,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,740 : 211,892 = 211,892 : x
  2. Step 2: Convert to fraction form
    90,740/211,892 = 211,892/x
  3. Step 3: Cross multiply
    90,740x = 211,892 × 211,892
  4. Step 4: Simplify right side
    90,740x = 44,898,219,664
  5. Step 5: Solve for x
    x = 44,898,219,664/90,740
  6. Step 6: Final answer
    x = 494,800.75

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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.