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Finding the Third Proportional to 221,972 and 347,834

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Solution

The third proportional to 221,972 and 347,834 is: 545,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,972 : 347,834 = 347,834 : x
  2. Step 2: Convert to fraction form
    221,972/347,834 = 347,834/x
  3. Step 3: Cross multiply
    221,972x = 347,834 × 347,834
  4. Step 4: Simplify right side
    221,972x = 120,988,491,556
  5. Step 5: Solve for x
    x = 120,988,491,556/221,972
  6. Step 6: Final answer
    x = 545,061.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.