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Finding the Third Proportional to 217,825 and 477,725

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Solution

The third proportional to 217,825 and 477,725 is: 1,047,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,825 : 477,725 = 477,725 : x
  2. Step 2: Convert to fraction form
    217,825/477,725 = 477,725/x
  3. Step 3: Cross multiply
    217,825x = 477,725 × 477,725
  4. Step 4: Simplify right side
    217,825x = 228,221,175,625
  5. Step 5: Solve for x
    x = 228,221,175,625/217,825
  6. Step 6: Final answer
    x = 1,047,727.19

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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.