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Finding the Third Proportional to 217,990 and 465,548

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Solution

The third proportional to 217,990 and 465,548 is: 994,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,990 : 465,548 = 465,548 : x
  2. Step 2: Convert to fraction form
    217,990/465,548 = 465,548/x
  3. Step 3: Cross multiply
    217,990x = 465,548 × 465,548
  4. Step 4: Simplify right side
    217,990x = 216,734,940,304
  5. Step 5: Solve for x
    x = 216,734,940,304/217,990
  6. Step 6: Final answer
    x = 994,242.58

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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.