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Finding the Third Proportional to 217,488 and 477,744

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Solution

The third proportional to 217,488 and 477,744 is: 1,049,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,488 : 477,744 = 477,744 : x
  2. Step 2: Convert to fraction form
    217,488/477,744 = 477,744/x
  3. Step 3: Cross multiply
    217,488x = 477,744 × 477,744
  4. Step 4: Simplify right side
    217,488x = 228,239,329,536
  5. Step 5: Solve for x
    x = 228,239,329,536/217,488
  6. Step 6: Final answer
    x = 1,049,434.13

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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.