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Finding the Third Proportional to 224,230.50 and 347,554

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Solution

The third proportional to 224,230.50 and 347,554 is: 538,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,230.50 : 347,554 = 347,554 : x
  2. Step 2: Convert to fraction form
    224,230.50/347,554 = 347,554/x
  3. Step 3: Cross multiply
    224,230.50x = 347,554 × 347,554
  4. Step 4: Simplify right side
    224,230.50x = 120,793,782,916
  5. Step 5: Solve for x
    x = 120,793,782,916/224,230.50
  6. Step 6: Final answer
    x = 538,703.62

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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.