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Finding the Third Proportional to 220,266 and 480,977

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Solution

The third proportional to 220,266 and 480,977 is: 1,050,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,266 : 480,977 = 480,977 : x
  2. Step 2: Convert to fraction form
    220,266/480,977 = 480,977/x
  3. Step 3: Cross multiply
    220,266x = 480,977 × 480,977
  4. Step 4: Simplify right side
    220,266x = 231,338,874,529
  5. Step 5: Solve for x
    x = 231,338,874,529/220,266
  6. Step 6: Final answer
    x = 1,050,270.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.