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Finding the Third Proportional to 69,296 and 150,740

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Solution

The third proportional to 69,296 and 150,740 is: 327,905.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,296 : 150,740 = 150,740 : x
  2. Step 2: Convert to fraction form
    69,296/150,740 = 150,740/x
  3. Step 3: Cross multiply
    69,296x = 150,740 × 150,740
  4. Step 4: Simplify right side
    69,296x = 22,722,547,600
  5. Step 5: Solve for x
    x = 22,722,547,600/69,296
  6. Step 6: Final answer
    x = 327,905.62

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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.