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Finding the Third Proportional to 219,664 and 298,344

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Solution

The third proportional to 219,664 and 298,344 is: 405,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,664 : 298,344 = 298,344 : x
  2. Step 2: Convert to fraction form
    219,664/298,344 = 298,344/x
  3. Step 3: Cross multiply
    219,664x = 298,344 × 298,344
  4. Step 4: Simplify right side
    219,664x = 89,009,142,336
  5. Step 5: Solve for x
    x = 89,009,142,336/219,664
  6. Step 6: Final answer
    x = 405,205.87

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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.