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Finding the Third Proportional to 78,321 and 126,108

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Solution

The third proportional to 78,321 and 126,108 is: 203,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321 : 126,108 = 126,108 : x
  2. Step 2: Convert to fraction form
    78,321/126,108 = 126,108/x
  3. Step 3: Cross multiply
    78,321x = 126,108 × 126,108
  4. Step 4: Simplify right side
    78,321x = 15,903,227,664
  5. Step 5: Solve for x
    x = 15,903,227,664/78,321
  6. Step 6: Final answer
    x = 203,051.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.