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Finding the Third Proportional to 299,737 and 641,986

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Solution

The third proportional to 299,737 and 641,986 is: 1,375,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,737 : 641,986 = 641,986 : x
  2. Step 2: Convert to fraction form
    299,737/641,986 = 641,986/x
  3. Step 3: Cross multiply
    299,737x = 641,986 × 641,986
  4. Step 4: Simplify right side
    299,737x = 412,146,024,196
  5. Step 5: Solve for x
    x = 412,146,024,196/299,737
  6. Step 6: Final answer
    x = 1,375,025.52

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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.