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Finding the Third Proportional to 219,678 and 298,413

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Solution

The third proportional to 219,678 and 298,413 is: 405,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,678 : 298,413 = 298,413 : x
  2. Step 2: Convert to fraction form
    219,678/298,413 = 298,413/x
  3. Step 3: Cross multiply
    219,678x = 298,413 × 298,413
  4. Step 4: Simplify right side
    219,678x = 89,050,318,569
  5. Step 5: Solve for x
    x = 89,050,318,569/219,678
  6. Step 6: Final answer
    x = 405,367.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.