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Finding the Third Proportional to 217,839 and 477,600

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Solution

The third proportional to 217,839 and 477,600 is: 1,047,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,839 : 477,600 = 477,600 : x
  2. Step 2: Convert to fraction form
    217,839/477,600 = 477,600/x
  3. Step 3: Cross multiply
    217,839x = 477,600 × 477,600
  4. Step 4: Simplify right side
    217,839x = 228,101,760,000
  5. Step 5: Solve for x
    x = 228,101,760,000/217,839
  6. Step 6: Final answer
    x = 1,047,111.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.