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Finding the Third Proportional to 100,980 and 156,351.94

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Solution

The third proportional to 100,980 and 156,351.94 is: 242,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,980 : 156,351.94 = 156,351.94 : x
  2. Step 2: Convert to fraction form
    100,980/156,351.94 = 156,351.94/x
  3. Step 3: Cross multiply
    100,980x = 156,351.94 × 156,351.94
  4. Step 4: Simplify right side
    100,980x = 24,445,928,360.00
  5. Step 5: Solve for x
    x = 24,445,928,360.00/100,980
  6. Step 6: Final answer
    x = 242,086.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.