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Finding the Third Proportional to 221,620.50 and 489,897

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Solution

The third proportional to 221,620.50 and 489,897 is: 1,082,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,620.50 : 489,897 = 489,897 : x
  2. Step 2: Convert to fraction form
    221,620.50/489,897 = 489,897/x
  3. Step 3: Cross multiply
    221,620.50x = 489,897 × 489,897
  4. Step 4: Simplify right side
    221,620.50x = 239,999,070,609
  5. Step 5: Solve for x
    x = 239,999,070,609/221,620.50
  6. Step 6: Final answer
    x = 1,082,928.12

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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.