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Finding the Third Proportional to 476,208 and 720,456

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Solution

The third proportional to 476,208 and 720,456 is: 1,089,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,208 : 720,456 = 720,456 : x
  2. Step 2: Convert to fraction form
    476,208/720,456 = 720,456/x
  3. Step 3: Cross multiply
    476,208x = 720,456 × 720,456
  4. Step 4: Simplify right side
    476,208x = 519,056,847,936
  5. Step 5: Solve for x
    x = 519,056,847,936/476,208
  6. Step 6: Final answer
    x = 1,089,979.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.