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Finding the Third Proportional to 74,247 and 154,614

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Solution

The third proportional to 74,247 and 154,614 is: 321,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,247 : 154,614 = 154,614 : x
  2. Step 2: Convert to fraction form
    74,247/154,614 = 154,614/x
  3. Step 3: Cross multiply
    74,247x = 154,614 × 154,614
  4. Step 4: Simplify right side
    74,247x = 23,905,488,996
  5. Step 5: Solve for x
    x = 23,905,488,996/74,247
  6. Step 6: Final answer
    x = 321,972.46

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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.