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Finding the Third Proportional to 219,485 and 298,110

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Solution

The third proportional to 219,485 and 298,110 is: 404,900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,485 : 298,110 = 298,110 : x
  2. Step 2: Convert to fraction form
    219,485/298,110 = 298,110/x
  3. Step 3: Cross multiply
    219,485x = 298,110 × 298,110
  4. Step 4: Simplify right side
    219,485x = 88,869,572,100
  5. Step 5: Solve for x
    x = 88,869,572,100/219,485
  6. Step 6: Final answer
    x = 404,900.44

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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.