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Finding the Third Proportional to 149,562 and 330,216

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Solution

The third proportional to 149,562 and 330,216 is: 729,079.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,562 : 330,216 = 330,216 : x
  2. Step 2: Convert to fraction form
    149,562/330,216 = 330,216/x
  3. Step 3: Cross multiply
    149,562x = 330,216 × 330,216
  4. Step 4: Simplify right side
    149,562x = 109,042,606,656
  5. Step 5: Solve for x
    x = 109,042,606,656/149,562
  6. Step 6: Final answer
    x = 729,079.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.