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Finding the Third Proportional to 293,447.25 and 643,149

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Solution

The third proportional to 293,447.25 and 643,149 is: 1,409,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,447.25 : 643,149 = 643,149 : x
  2. Step 2: Convert to fraction form
    293,447.25/643,149 = 643,149/x
  3. Step 3: Cross multiply
    293,447.25x = 643,149 × 643,149
  4. Step 4: Simplify right side
    293,447.25x = 413,640,636,201
  5. Step 5: Solve for x
    x = 413,640,636,201/293,447.25
  6. Step 6: Final answer
    x = 1,409,591.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.