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Finding the Third Proportional to 221,349 and 489,216

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Solution

The third proportional to 221,349 and 489,216 is: 1,081,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,349 : 489,216 = 489,216 : x
  2. Step 2: Convert to fraction form
    221,349/489,216 = 489,216/x
  3. Step 3: Cross multiply
    221,349x = 489,216 × 489,216
  4. Step 4: Simplify right side
    221,349x = 239,332,294,656
  5. Step 5: Solve for x
    x = 239,332,294,656/221,349
  6. Step 6: Final answer
    x = 1,081,244.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.