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Finding the Third Proportional to 299,182 and 640,400

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Solution

The third proportional to 299,182 and 640,400 is: 1,370,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,182 : 640,400 = 640,400 : x
  2. Step 2: Convert to fraction form
    299,182/640,400 = 640,400/x
  3. Step 3: Cross multiply
    299,182x = 640,400 × 640,400
  4. Step 4: Simplify right side
    299,182x = 410,112,160,000
  5. Step 5: Solve for x
    x = 410,112,160,000/299,182
  6. Step 6: Final answer
    x = 1,370,778.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.