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Finding the Third Proportional to 74,347 and 154,847

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Solution

The third proportional to 74,347 and 154,847 is: 322,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,347 : 154,847 = 154,847 : x
  2. Step 2: Convert to fraction form
    74,347/154,847 = 154,847/x
  3. Step 3: Cross multiply
    74,347x = 154,847 × 154,847
  4. Step 4: Simplify right side
    74,347x = 23,977,593,409
  5. Step 5: Solve for x
    x = 23,977,593,409/74,347
  6. Step 6: Final answer
    x = 322,509.23

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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.