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Finding the Third Proportional to 217,478 and 477,724

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Solution

The third proportional to 217,478 and 477,724 is: 1,049,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,478 : 477,724 = 477,724 : x
  2. Step 2: Convert to fraction form
    217,478/477,724 = 477,724/x
  3. Step 3: Cross multiply
    217,478x = 477,724 × 477,724
  4. Step 4: Simplify right side
    217,478x = 228,220,220,176
  5. Step 5: Solve for x
    x = 228,220,220,176/217,478
  6. Step 6: Final answer
    x = 1,049,394.51

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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.