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Finding the Third Proportional to 299,380 and 643,112

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Solution

The third proportional to 299,380 and 643,112 is: 1,381,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,380 : 643,112 = 643,112 : x
  2. Step 2: Convert to fraction form
    299,380/643,112 = 643,112/x
  3. Step 3: Cross multiply
    299,380x = 643,112 × 643,112
  4. Step 4: Simplify right side
    299,380x = 413,593,044,544
  5. Step 5: Solve for x
    x = 413,593,044,544/299,380
  6. Step 6: Final answer
    x = 1,381,498.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.