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Finding the Third Proportional to 140,240.75 and 308,518.75

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Solution

The third proportional to 140,240.75 and 308,518.75 is: 678,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,240.75 : 308,518.75 = 308,518.75 : x
  2. Step 2: Convert to fraction form
    140,240.75/308,518.75 = 308,518.75/x
  3. Step 3: Cross multiply
    140,240.75x = 308,518.75 × 308,518.75
  4. Step 4: Simplify right side
    140,240.75x = 95,183,819,101.56
  5. Step 5: Solve for x
    x = 95,183,819,101.56/140,240.75
  6. Step 6: Final answer
    x = 678,717.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.