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Finding the Third Proportional to 72,780 and 156,192

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Solution

The third proportional to 72,780 and 156,192 is: 335,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,780 : 156,192 = 156,192 : x
  2. Step 2: Convert to fraction form
    72,780/156,192 = 156,192/x
  3. Step 3: Cross multiply
    72,780x = 156,192 × 156,192
  4. Step 4: Simplify right side
    72,780x = 24,395,940,864
  5. Step 5: Solve for x
    x = 24,395,940,864/72,780
  6. Step 6: Final answer
    x = 335,201.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.