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Finding the Third Proportional to 74,018 and 109,387

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Solution

The third proportional to 74,018 and 109,387 is: 161,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,018 : 109,387 = 109,387 : x
  2. Step 2: Convert to fraction form
    74,018/109,387 = 109,387/x
  3. Step 3: Cross multiply
    74,018x = 109,387 × 109,387
  4. Step 4: Simplify right side
    74,018x = 11,965,515,769
  5. Step 5: Solve for x
    x = 11,965,515,769/74,018
  6. Step 6: Final answer
    x = 161,656.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.