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Finding the Third Proportional to 102,800 and 224,236

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Solution

The third proportional to 102,800 and 224,236 is: 489,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,800 : 224,236 = 224,236 : x
  2. Step 2: Convert to fraction form
    102,800/224,236 = 224,236/x
  3. Step 3: Cross multiply
    102,800x = 224,236 × 224,236
  4. Step 4: Simplify right side
    102,800x = 50,281,783,696
  5. Step 5: Solve for x
    x = 50,281,783,696/102,800
  6. Step 6: Final answer
    x = 489,122.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.