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Finding the Third Proportional to 69,728 and 143,583

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Solution

The third proportional to 69,728 and 143,583 is: 295,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,728 : 143,583 = 143,583 : x
  2. Step 2: Convert to fraction form
    69,728/143,583 = 143,583/x
  3. Step 3: Cross multiply
    69,728x = 143,583 × 143,583
  4. Step 4: Simplify right side
    69,728x = 20,616,077,889
  5. Step 5: Solve for x
    x = 20,616,077,889/69,728
  6. Step 6: Final answer
    x = 295,664.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.