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Finding the Third Proportional to 79,878 and 189,948

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Solution

The third proportional to 79,878 and 189,948 is: 451,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,878 : 189,948 = 189,948 : x
  2. Step 2: Convert to fraction form
    79,878/189,948 = 189,948/x
  3. Step 3: Cross multiply
    79,878x = 189,948 × 189,948
  4. Step 4: Simplify right side
    79,878x = 36,080,242,704
  5. Step 5: Solve for x
    x = 36,080,242,704/79,878
  6. Step 6: Final answer
    x = 451,691.86

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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.