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Finding the Third Proportional to 140,200.88 and 305,778.16

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Solution

The third proportional to 140,200.88 and 305,778.16 is: 666,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,200.88 : 305,778.16 = 305,778.16 : x
  2. Step 2: Convert to fraction form
    140,200.88/305,778.16 = 305,778.16/x
  3. Step 3: Cross multiply
    140,200.88x = 305,778.16 × 305,778.16
  4. Step 4: Simplify right side
    140,200.88x = 93,500,285,617.43
  5. Step 5: Solve for x
    x = 93,500,285,617.43/140,200.88
  6. Step 6: Final answer
    x = 666,902.30

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Why These Related Problems?

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