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Finding the Third Proportional to 78,313.50 and 126,096.75

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Solution

The third proportional to 78,313.50 and 126,096.75 is: 203,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,313.50 : 126,096.75 = 126,096.75 : x
  2. Step 2: Convert to fraction form
    78,313.50/126,096.75 = 126,096.75/x
  3. Step 3: Cross multiply
    78,313.50x = 126,096.75 × 126,096.75
  4. Step 4: Simplify right side
    78,313.50x = 15,900,390,360.56
  5. Step 5: Solve for x
    x = 15,900,390,360.56/78,313.50
  6. Step 6: Final answer
    x = 203,035.11

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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.