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Finding the Third Proportional to 79,874 and 189,938

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Solution

The third proportional to 79,874 and 189,938 is: 451,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,874 : 189,938 = 189,938 : x
  2. Step 2: Convert to fraction form
    79,874/189,938 = 189,938/x
  3. Step 3: Cross multiply
    79,874x = 189,938 × 189,938
  4. Step 4: Simplify right side
    79,874x = 36,076,443,844
  5. Step 5: Solve for x
    x = 36,076,443,844/79,874
  6. Step 6: Final answer
    x = 451,666.92

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.