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Finding the Third Proportional to 74,137 and 154,418

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Solution

The third proportional to 74,137 and 154,418 is: 321,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,137 : 154,418 = 154,418 : x
  2. Step 2: Convert to fraction form
    74,137/154,418 = 154,418/x
  3. Step 3: Cross multiply
    74,137x = 154,418 × 154,418
  4. Step 4: Simplify right side
    74,137x = 23,844,918,724
  5. Step 5: Solve for x
    x = 23,844,918,724/74,137
  6. Step 6: Final answer
    x = 321,633.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.