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Finding the Third Proportional to 221,959 and 489,160

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Solution

The third proportional to 221,959 and 489,160 is: 1,078,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,959 : 489,160 = 489,160 : x
  2. Step 2: Convert to fraction form
    221,959/489,160 = 489,160/x
  3. Step 3: Cross multiply
    221,959x = 489,160 × 489,160
  4. Step 4: Simplify right side
    221,959x = 239,277,505,600
  5. Step 5: Solve for x
    x = 239,277,505,600/221,959
  6. Step 6: Final answer
    x = 1,078,025.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.