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Finding the Third Proportional to 220,905 and 477,099

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Solution

The third proportional to 220,905 and 477,099 is: 1,030,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,905 : 477,099 = 477,099 : x
  2. Step 2: Convert to fraction form
    220,905/477,099 = 477,099/x
  3. Step 3: Cross multiply
    220,905x = 477,099 × 477,099
  4. Step 4: Simplify right side
    220,905x = 227,623,455,801
  5. Step 5: Solve for x
    x = 227,623,455,801/220,905
  6. Step 6: Final answer
    x = 1,030,413.33

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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.