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Finding the Third Proportional to 217,584 and 477,990

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Solution

The third proportional to 217,584 and 477,990 is: 1,050,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,584 : 477,990 = 477,990 : x
  2. Step 2: Convert to fraction form
    217,584/477,990 = 477,990/x
  3. Step 3: Cross multiply
    217,584x = 477,990 × 477,990
  4. Step 4: Simplify right side
    217,584x = 228,474,440,100
  5. Step 5: Solve for x
    x = 228,474,440,100/217,584
  6. Step 6: Final answer
    x = 1,050,051.66

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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.