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Finding the Third Proportional to 90,742 and 211,897

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Solution

The third proportional to 90,742 and 211,897 is: 494,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,742 : 211,897 = 211,897 : x
  2. Step 2: Convert to fraction form
    90,742/211,897 = 211,897/x
  3. Step 3: Cross multiply
    90,742x = 211,897 × 211,897
  4. Step 4: Simplify right side
    90,742x = 44,900,338,609
  5. Step 5: Solve for x
    x = 44,900,338,609/90,742
  6. Step 6: Final answer
    x = 494,813.19

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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.