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Finding the Third Proportional to 140,943.75 and 215,880.75

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Solution

The third proportional to 140,943.75 and 215,880.75 is: 330,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,943.75 : 215,880.75 = 215,880.75 : x
  2. Step 2: Convert to fraction form
    140,943.75/215,880.75 = 215,880.75/x
  3. Step 3: Cross multiply
    140,943.75x = 215,880.75 × 215,880.75
  4. Step 4: Simplify right side
    140,943.75x = 46,604,498,220.56
  5. Step 5: Solve for x
    x = 46,604,498,220.56/140,943.75
  6. Step 6: Final answer
    x = 330,660.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.