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Finding the Third Proportional to 142,318 and 305,740

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Solution

The third proportional to 142,318 and 305,740 is: 656,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,318 : 305,740 = 305,740 : x
  2. Step 2: Convert to fraction form
    142,318/305,740 = 305,740/x
  3. Step 3: Cross multiply
    142,318x = 305,740 × 305,740
  4. Step 4: Simplify right side
    142,318x = 93,476,947,600
  5. Step 5: Solve for x
    x = 93,476,947,600/142,318
  6. Step 6: Final answer
    x = 656,817.46

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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.