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Finding the Third Proportional to 102,393 and 209,889

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Solution

The third proportional to 102,393 and 209,889 is: 430,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,393 : 209,889 = 209,889 : x
  2. Step 2: Convert to fraction form
    102,393/209,889 = 209,889/x
  3. Step 3: Cross multiply
    102,393x = 209,889 × 209,889
  4. Step 4: Simplify right side
    102,393x = 44,053,392,321
  5. Step 5: Solve for x
    x = 44,053,392,321/102,393
  6. Step 6: Final answer
    x = 430,238.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.