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Finding the Third Proportional to 78,366 and 166,716

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Solution

The third proportional to 78,366 and 166,716 is: 354,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,366 : 166,716 = 166,716 : x
  2. Step 2: Convert to fraction form
    78,366/166,716 = 166,716/x
  3. Step 3: Cross multiply
    78,366x = 166,716 × 166,716
  4. Step 4: Simplify right side
    78,366x = 27,794,224,656
  5. Step 5: Solve for x
    x = 27,794,224,656/78,366
  6. Step 6: Final answer
    x = 354,671.98

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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.