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Finding the Third Proportional to 209,504 and 452,476

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Solution

The third proportional to 209,504 and 452,476 is: 977,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,504 : 452,476 = 452,476 : x
  2. Step 2: Convert to fraction form
    209,504/452,476 = 452,476/x
  3. Step 3: Cross multiply
    209,504x = 452,476 × 452,476
  4. Step 4: Simplify right side
    209,504x = 204,734,530,576
  5. Step 5: Solve for x
    x = 204,734,530,576/209,504
  6. Step 6: Final answer
    x = 977,234.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.