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Finding the Third Proportional to 31,668 and 49,419

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Solution

The third proportional to 31,668 and 49,419 is: 77,120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,668 : 49,419 = 49,419 : x
  2. Step 2: Convert to fraction form
    31,668/49,419 = 49,419/x
  3. Step 3: Cross multiply
    31,668x = 49,419 × 49,419
  4. Step 4: Simplify right side
    31,668x = 2,442,237,561
  5. Step 5: Solve for x
    x = 2,442,237,561/31,668
  6. Step 6: Final answer
    x = 77,120.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.