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Finding the Third Proportional to 91,394 and 211,781

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Solution

The third proportional to 91,394 and 211,781 is: 490,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,394 : 211,781 = 211,781 : x
  2. Step 2: Convert to fraction form
    91,394/211,781 = 211,781/x
  3. Step 3: Cross multiply
    91,394x = 211,781 × 211,781
  4. Step 4: Simplify right side
    91,394x = 44,851,191,961
  5. Step 5: Solve for x
    x = 44,851,191,961/91,394
  6. Step 6: Final answer
    x = 490,745.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.