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Finding the Third Proportional to 142,317 and 305,739

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Solution

The third proportional to 142,317 and 305,739 is: 656,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,317 : 305,739 = 305,739 : x
  2. Step 2: Convert to fraction form
    142,317/305,739 = 305,739/x
  3. Step 3: Cross multiply
    142,317x = 305,739 × 305,739
  4. Step 4: Simplify right side
    142,317x = 93,476,336,121
  5. Step 5: Solve for x
    x = 93,476,336,121/142,317
  6. Step 6: Final answer
    x = 656,817.78

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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.