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Finding the Third Proportional to 76,872 and 168,878

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Solution

The third proportional to 76,872 and 168,878 is: 371,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,872 : 168,878 = 168,878 : x
  2. Step 2: Convert to fraction form
    76,872/168,878 = 168,878/x
  3. Step 3: Cross multiply
    76,872x = 168,878 × 168,878
  4. Step 4: Simplify right side
    76,872x = 28,519,778,884
  5. Step 5: Solve for x
    x = 28,519,778,884/76,872
  6. Step 6: Final answer
    x = 371,003.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.