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Finding the Third Proportional to 208,498 and 449,420

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Solution

The third proportional to 208,498 and 449,420 is: 968,730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,498 : 449,420 = 449,420 : x
  2. Step 2: Convert to fraction form
    208,498/449,420 = 449,420/x
  3. Step 3: Cross multiply
    208,498x = 449,420 × 449,420
  4. Step 4: Simplify right side
    208,498x = 201,978,336,400
  5. Step 5: Solve for x
    x = 201,978,336,400/208,498
  6. Step 6: Final answer
    x = 968,730.33

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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.