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Finding the Third Proportional to 209,448 and 452,103

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Solution

The third proportional to 209,448 and 452,103 is: 975,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,448 : 452,103 = 452,103 : x
  2. Step 2: Convert to fraction form
    209,448/452,103 = 452,103/x
  3. Step 3: Cross multiply
    209,448x = 452,103 × 452,103
  4. Step 4: Simplify right side
    209,448x = 204,397,122,609
  5. Step 5: Solve for x
    x = 204,397,122,609/209,448
  6. Step 6: Final answer
    x = 975,884.81

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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.