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Finding the Third Proportional to 299,160 and 639,824

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Solution

The third proportional to 299,160 and 639,824 is: 1,368,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,160 : 639,824 = 639,824 : x
  2. Step 2: Convert to fraction form
    299,160/639,824 = 639,824/x
  3. Step 3: Cross multiply
    299,160x = 639,824 × 639,824
  4. Step 4: Simplify right side
    299,160x = 409,374,750,976
  5. Step 5: Solve for x
    x = 409,374,750,976/299,160
  6. Step 6: Final answer
    x = 1,368,414.06

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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.