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Finding the Third Proportional to 208,064 and 447,728

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Solution

The third proportional to 208,064 and 447,728 is: 963,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,064 : 447,728 = 447,728 : x
  2. Step 2: Convert to fraction form
    208,064/447,728 = 447,728/x
  3. Step 3: Cross multiply
    208,064x = 447,728 × 447,728
  4. Step 4: Simplify right side
    208,064x = 200,460,361,984
  5. Step 5: Solve for x
    x = 200,460,361,984/208,064
  6. Step 6: Final answer
    x = 963,455.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.