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Finding the Third Proportional to 224,128 and 347,016

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Solution

The third proportional to 224,128 and 347,016 is: 537,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,128 : 347,016 = 347,016 : x
  2. Step 2: Convert to fraction form
    224,128/347,016 = 347,016/x
  3. Step 3: Cross multiply
    224,128x = 347,016 × 347,016
  4. Step 4: Simplify right side
    224,128x = 120,420,104,256
  5. Step 5: Solve for x
    x = 120,420,104,256/224,128
  6. Step 6: Final answer
    x = 537,282.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.