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Finding the Third Proportional to 102,375 and 221,394

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Solution

The third proportional to 102,375 and 221,394 is: 478,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,375 : 221,394 = 221,394 : x
  2. Step 2: Convert to fraction form
    102,375/221,394 = 221,394/x
  3. Step 3: Cross multiply
    102,375x = 221,394 × 221,394
  4. Step 4: Simplify right side
    102,375x = 49,015,303,236
  5. Step 5: Solve for x
    x = 49,015,303,236/102,375
  6. Step 6: Final answer
    x = 478,781.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.