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Finding the Third Proportional to 298,156 and 638,919

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Solution

The third proportional to 298,156 and 638,919 is: 1,369,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,156 : 638,919 = 638,919 : x
  2. Step 2: Convert to fraction form
    298,156/638,919 = 638,919/x
  3. Step 3: Cross multiply
    298,156x = 638,919 × 638,919
  4. Step 4: Simplify right side
    298,156x = 408,217,488,561
  5. Step 5: Solve for x
    x = 408,217,488,561/298,156
  6. Step 6: Final answer
    x = 1,369,140.61

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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.