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Finding the Third Proportional to 31,622 and 47,418

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Solution

The third proportional to 31,622 and 47,418 is: 71,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,622 : 47,418 = 47,418 : x
  2. Step 2: Convert to fraction form
    31,622/47,418 = 47,418/x
  3. Step 3: Cross multiply
    31,622x = 47,418 × 47,418
  4. Step 4: Simplify right side
    31,622x = 2,248,466,724
  5. Step 5: Solve for x
    x = 2,248,466,724/31,622
  6. Step 6: Final answer
    x = 71,104.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.