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Finding the Third Proportional to 78,016 and 168,296

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Solution

The third proportional to 78,016 and 168,296 is: 363,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,016 : 168,296 = 168,296 : x
  2. Step 2: Convert to fraction form
    78,016/168,296 = 168,296/x
  3. Step 3: Cross multiply
    78,016x = 168,296 × 168,296
  4. Step 4: Simplify right side
    78,016x = 28,323,543,616
  5. Step 5: Solve for x
    x = 28,323,543,616/78,016
  6. Step 6: Final answer
    x = 363,047.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.