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Finding the Third Proportional to 219,602 and 298,297

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Solution

The third proportional to 219,602 and 298,297 is: 405,192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,602 : 298,297 = 298,297 : x
  2. Step 2: Convert to fraction form
    219,602/298,297 = 298,297/x
  3. Step 3: Cross multiply
    219,602x = 298,297 × 298,297
  4. Step 4: Simplify right side
    219,602x = 88,981,100,209
  5. Step 5: Solve for x
    x = 88,981,100,209/219,602
  6. Step 6: Final answer
    x = 405,192.58

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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.