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Finding the Third Proportional to 140,440.50 and 305,910

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Solution

The third proportional to 140,440.50 and 305,910 is: 666,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,440.50 : 305,910 = 305,910 : x
  2. Step 2: Convert to fraction form
    140,440.50/305,910 = 305,910/x
  3. Step 3: Cross multiply
    140,440.50x = 305,910 × 305,910
  4. Step 4: Simplify right side
    140,440.50x = 93,580,928,100
  5. Step 5: Solve for x
    x = 93,580,928,100/140,440.50
  6. Step 6: Final answer
    x = 666,338.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.