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Finding the Third Proportional to 102,909 and 223,859

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Solution

The third proportional to 102,909 and 223,859 is: 486,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,909 : 223,859 = 223,859 : x
  2. Step 2: Convert to fraction form
    102,909/223,859 = 223,859/x
  3. Step 3: Cross multiply
    102,909x = 223,859 × 223,859
  4. Step 4: Simplify right side
    102,909x = 50,112,851,881
  5. Step 5: Solve for x
    x = 50,112,851,881/102,909
  6. Step 6: Final answer
    x = 486,962.77

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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.