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Finding the Third Proportional to 299,655 and 643,779

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Solution

The third proportional to 299,655 and 643,779 is: 1,383,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,655 : 643,779 = 643,779 : x
  2. Step 2: Convert to fraction form
    299,655/643,779 = 643,779/x
  3. Step 3: Cross multiply
    299,655x = 643,779 × 643,779
  4. Step 4: Simplify right side
    299,655x = 414,451,400,841
  5. Step 5: Solve for x
    x = 414,451,400,841/299,655
  6. Step 6: Final answer
    x = 1,383,095.23

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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.