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Finding the Third Proportional to 102,395 and 209,893

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Solution

The third proportional to 102,395 and 209,893 is: 430,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,395 : 209,893 = 209,893 : x
  2. Step 2: Convert to fraction form
    102,395/209,893 = 209,893/x
  3. Step 3: Cross multiply
    102,395x = 209,893 × 209,893
  4. Step 4: Simplify right side
    102,395x = 44,055,071,449
  5. Step 5: Solve for x
    x = 44,055,071,449/102,395
  6. Step 6: Final answer
    x = 430,246.32

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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.