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Finding the Third Proportional to 217,476 and 477,720

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Solution

The third proportional to 217,476 and 477,720 is: 1,049,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,476 : 477,720 = 477,720 : x
  2. Step 2: Convert to fraction form
    217,476/477,720 = 477,720/x
  3. Step 3: Cross multiply
    217,476x = 477,720 × 477,720
  4. Step 4: Simplify right side
    217,476x = 228,216,398,400
  5. Step 5: Solve for x
    x = 228,216,398,400/217,476
  6. Step 6: Final answer
    x = 1,049,386.59

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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.