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Finding the Third Proportional to 140,238.75 and 305,860.50

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Solution

The third proportional to 140,238.75 and 305,860.50 is: 667,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,238.75 : 305,860.50 = 305,860.50 : x
  2. Step 2: Convert to fraction form
    140,238.75/305,860.50 = 305,860.50/x
  3. Step 3: Cross multiply
    140,238.75x = 305,860.50 × 305,860.50
  4. Step 4: Simplify right side
    140,238.75x = 93,550,645,460.25
  5. Step 5: Solve for x
    x = 93,550,645,460.25/140,238.75
  6. Step 6: Final answer
    x = 667,081.28

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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.