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Finding the Third Proportional to 69,298 and 149,682

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Solution

The third proportional to 69,298 and 149,682 is: 323,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,298 : 149,682 = 149,682 : x
  2. Step 2: Convert to fraction form
    69,298/149,682 = 149,682/x
  3. Step 3: Cross multiply
    69,298x = 149,682 × 149,682
  4. Step 4: Simplify right side
    69,298x = 22,404,701,124
  5. Step 5: Solve for x
    x = 22,404,701,124/69,298
  6. Step 6: Final answer
    x = 323,309.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.