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Finding the Third Proportional to 217,404 and 477,576

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Solution

The third proportional to 217,404 and 477,576 is: 1,049,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,404 : 477,576 = 477,576 : x
  2. Step 2: Convert to fraction form
    217,404/477,576 = 477,576/x
  3. Step 3: Cross multiply
    217,404x = 477,576 × 477,576
  4. Step 4: Simplify right side
    217,404x = 228,078,835,776
  5. Step 5: Solve for x
    x = 228,078,835,776/217,404
  6. Step 6: Final answer
    x = 1,049,101.38

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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.