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Finding the Third Proportional to 208,486 and 454,610

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Solution

The third proportional to 208,486 and 454,610 is: 991,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,486 : 454,610 = 454,610 : x
  2. Step 2: Convert to fraction form
    208,486/454,610 = 454,610/x
  3. Step 3: Cross multiply
    208,486x = 454,610 × 454,610
  4. Step 4: Simplify right side
    208,486x = 206,670,252,100
  5. Step 5: Solve for x
    x = 206,670,252,100/208,486
  6. Step 6: Final answer
    x = 991,290.79

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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.