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Finding the Third Proportional to 34,000 and 69,512

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Solution

The third proportional to 34,000 and 69,512 is: 142,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,000 : 69,512 = 69,512 : x
  2. Step 2: Convert to fraction form
    34,000/69,512 = 69,512/x
  3. Step 3: Cross multiply
    34,000x = 69,512 × 69,512
  4. Step 4: Simplify right side
    34,000x = 4,831,918,144
  5. Step 5: Solve for x
    x = 4,831,918,144/34,000
  6. Step 6: Final answer
    x = 142,115.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.