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Finding the Third Proportional to 208,576 and 454,400

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Solution

The third proportional to 208,576 and 454,400 is: 989,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,576 : 454,400 = 454,400 : x
  2. Step 2: Convert to fraction form
    208,576/454,400 = 454,400/x
  3. Step 3: Cross multiply
    208,576x = 454,400 × 454,400
  4. Step 4: Simplify right side
    208,576x = 206,479,360,000
  5. Step 5: Solve for x
    x = 206,479,360,000/208,576
  6. Step 6: Final answer
    x = 989,947.84

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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.