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Finding the Third Proportional to 91,401 and 211,578

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Solution

The third proportional to 91,401 and 211,578 is: 489,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,401 : 211,578 = 211,578 : x
  2. Step 2: Convert to fraction form
    91,401/211,578 = 211,578/x
  3. Step 3: Cross multiply
    91,401x = 211,578 × 211,578
  4. Step 4: Simplify right side
    91,401x = 44,765,250,084
  5. Step 5: Solve for x
    x = 44,765,250,084/91,401
  6. Step 6: Final answer
    x = 489,767.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.