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Finding the Third Proportional to 78,424 and 166,963

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Solution

The third proportional to 78,424 and 166,963 is: 355,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,424 : 166,963 = 166,963 : x
  2. Step 2: Convert to fraction form
    78,424/166,963 = 166,963/x
  3. Step 3: Cross multiply
    78,424x = 166,963 × 166,963
  4. Step 4: Simplify right side
    78,424x = 27,876,643,369
  5. Step 5: Solve for x
    x = 27,876,643,369/78,424
  6. Step 6: Final answer
    x = 355,460.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.