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Finding the Third Proportional to 102,375 and 209,808

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Solution

The third proportional to 102,375 and 209,808 is: 429,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,375 : 209,808 = 209,808 : x
  2. Step 2: Convert to fraction form
    102,375/209,808 = 209,808/x
  3. Step 3: Cross multiply
    102,375x = 209,808 × 209,808
  4. Step 4: Simplify right side
    102,375x = 44,019,396,864
  5. Step 5: Solve for x
    x = 44,019,396,864/102,375
  6. Step 6: Final answer
    x = 429,981.90

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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.