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Finding the Third Proportional to 102,912 and 223,865

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Solution

The third proportional to 102,912 and 223,865 is: 486,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912 : 223,865 = 223,865 : x
  2. Step 2: Convert to fraction form
    102,912/223,865 = 223,865/x
  3. Step 3: Cross multiply
    102,912x = 223,865 × 223,865
  4. Step 4: Simplify right side
    102,912x = 50,115,538,225
  5. Step 5: Solve for x
    x = 50,115,538,225/102,912
  6. Step 6: Final answer
    x = 486,974.68

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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.