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Finding the Third Proportional to 75,679 and 159,200

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Solution

The third proportional to 75,679 and 159,200 is: 334,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,679 : 159,200 = 159,200 : x
  2. Step 2: Convert to fraction form
    75,679/159,200 = 159,200/x
  3. Step 3: Cross multiply
    75,679x = 159,200 × 159,200
  4. Step 4: Simplify right side
    75,679x = 25,344,640,000
  5. Step 5: Solve for x
    x = 25,344,640,000/75,679
  6. Step 6: Final answer
    x = 334,896.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.