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Finding the Third Proportional to 217,986 and 465,540

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Solution

The third proportional to 217,986 and 465,540 is: 994,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,986 : 465,540 = 465,540 : x
  2. Step 2: Convert to fraction form
    217,986/465,540 = 465,540/x
  3. Step 3: Cross multiply
    217,986x = 465,540 × 465,540
  4. Step 4: Simplify right side
    217,986x = 216,727,491,600
  5. Step 5: Solve for x
    x = 216,727,491,600/217,986
  6. Step 6: Final answer
    x = 994,226.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.