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Finding the Third Proportional to 299,346 and 640,200

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Solution

The third proportional to 299,346 and 640,200 is: 1,369,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,346 : 640,200 = 640,200 : x
  2. Step 2: Convert to fraction form
    299,346/640,200 = 640,200/x
  3. Step 3: Cross multiply
    299,346x = 640,200 × 640,200
  4. Step 4: Simplify right side
    299,346x = 409,856,040,000
  5. Step 5: Solve for x
    x = 409,856,040,000/299,346
  6. Step 6: Final answer
    x = 1,369,171.59

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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.