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Finding the Third Proportional to 208,734 and 454,728

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Solution

The third proportional to 208,734 and 454,728 is: 990,627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,734 : 454,728 = 454,728 : x
  2. Step 2: Convert to fraction form
    208,734/454,728 = 454,728/x
  3. Step 3: Cross multiply
    208,734x = 454,728 × 454,728
  4. Step 4: Simplify right side
    208,734x = 206,777,553,984
  5. Step 5: Solve for x
    x = 206,777,553,984/208,734
  6. Step 6: Final answer
    x = 990,627.09

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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.