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Finding the Third Proportional to 74,261 and 154,642

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Solution

The third proportional to 74,261 and 154,642 is: 322,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,261 : 154,642 = 154,642 : x
  2. Step 2: Convert to fraction form
    74,261/154,642 = 154,642/x
  3. Step 3: Cross multiply
    74,261x = 154,642 × 154,642
  4. Step 4: Simplify right side
    74,261x = 23,914,148,164
  5. Step 5: Solve for x
    x = 23,914,148,164/74,261
  6. Step 6: Final answer
    x = 322,028.36

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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.