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Finding the Third Proportional to 295,853 and 639,017

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Solution

The third proportional to 295,853 and 639,017 is: 1,380,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,853 : 639,017 = 639,017 : x
  2. Step 2: Convert to fraction form
    295,853/639,017 = 639,017/x
  3. Step 3: Cross multiply
    295,853x = 639,017 × 639,017
  4. Step 4: Simplify right side
    295,853x = 408,342,726,289
  5. Step 5: Solve for x
    x = 408,342,726,289/295,853
  6. Step 6: Final answer
    x = 1,380,221.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.