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Finding the Third Proportional to 142,239 and 305,568.75

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Solution

The third proportional to 142,239 and 305,568.75 is: 656,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,239 : 305,568.75 = 305,568.75 : x
  2. Step 2: Convert to fraction form
    142,239/305,568.75 = 305,568.75/x
  3. Step 3: Cross multiply
    142,239x = 305,568.75 × 305,568.75
  4. Step 4: Simplify right side
    142,239x = 93,372,260,976.56
  5. Step 5: Solve for x
    x = 93,372,260,976.56/142,239
  6. Step 6: Final answer
    x = 656,446.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.