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Finding the Third Proportional to 102,609 and 221,616

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Solution

The third proportional to 102,609 and 221,616 is: 478,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,609 : 221,616 = 221,616 : x
  2. Step 2: Convert to fraction form
    102,609/221,616 = 221,616/x
  3. Step 3: Cross multiply
    102,609x = 221,616 × 221,616
  4. Step 4: Simplify right side
    102,609x = 49,113,651,456
  5. Step 5: Solve for x
    x = 49,113,651,456/102,609
  6. Step 6: Final answer
    x = 478,648.57

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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.