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Finding the Third Proportional to 298,102 and 638,860

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Solution

The third proportional to 298,102 and 638,860 is: 1,369,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,102 : 638,860 = 638,860 : x
  2. Step 2: Convert to fraction form
    298,102/638,860 = 638,860/x
  3. Step 3: Cross multiply
    298,102x = 638,860 × 638,860
  4. Step 4: Simplify right side
    298,102x = 408,142,099,600
  5. Step 5: Solve for x
    x = 408,142,099,600/298,102
  6. Step 6: Final answer
    x = 1,369,135.73

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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.