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Finding the Third Proportional to 102,611 and 221,620

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Solution

The third proportional to 102,611 and 221,620 is: 478,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,611 : 221,620 = 221,620 : x
  2. Step 2: Convert to fraction form
    102,611/221,620 = 221,620/x
  3. Step 3: Cross multiply
    102,611x = 221,620 × 221,620
  4. Step 4: Simplify right side
    102,611x = 49,115,424,400
  5. Step 5: Solve for x
    x = 49,115,424,400/102,611
  6. Step 6: Final answer
    x = 478,656.52

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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.