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Finding the Third Proportional to 50,122 and 74,643

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Solution

The third proportional to 50,122 and 74,643 is: 111,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,122 : 74,643 = 74,643 : x
  2. Step 2: Convert to fraction form
    50,122/74,643 = 74,643/x
  3. Step 3: Cross multiply
    50,122x = 74,643 × 74,643
  4. Step 4: Simplify right side
    50,122x = 5,571,577,449
  5. Step 5: Solve for x
    x = 5,571,577,449/50,122
  6. Step 6: Final answer
    x = 111,160.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.