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Finding the Third Proportional to 69,727 and 143,582

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Solution

The third proportional to 69,727 and 143,582 is: 295,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,727 : 143,582 = 143,582 : x
  2. Step 2: Convert to fraction form
    69,727/143,582 = 143,582/x
  3. Step 3: Cross multiply
    69,727x = 143,582 × 143,582
  4. Step 4: Simplify right side
    69,727x = 20,615,790,724
  5. Step 5: Solve for x
    x = 20,615,790,724/69,727
  6. Step 6: Final answer
    x = 295,664.39

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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.