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Finding the Third Proportional to 204,336 and 445,455

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Solution

The third proportional to 204,336 and 445,455 is: 971,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,336 : 445,455 = 445,455 : x
  2. Step 2: Convert to fraction form
    204,336/445,455 = 445,455/x
  3. Step 3: Cross multiply
    204,336x = 445,455 × 445,455
  4. Step 4: Simplify right side
    204,336x = 198,430,157,025
  5. Step 5: Solve for x
    x = 198,430,157,025/204,336
  6. Step 6: Final answer
    x = 971,097.39

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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.