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Finding the Third Proportional to 209,504 and 452,480

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Solution

The third proportional to 209,504 and 452,480 is: 977,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,504 : 452,480 = 452,480 : x
  2. Step 2: Convert to fraction form
    209,504/452,480 = 452,480/x
  3. Step 3: Cross multiply
    209,504x = 452,480 × 452,480
  4. Step 4: Simplify right side
    209,504x = 204,738,150,400
  5. Step 5: Solve for x
    x = 204,738,150,400/209,504
  6. Step 6: Final answer
    x = 977,251.75

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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.