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Finding the Third Proportional to 329,408 and 720,512

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Solution

The third proportional to 329,408 and 720,512 is: 1,575,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,408 : 720,512 = 720,512 : x
  2. Step 2: Convert to fraction form
    329,408/720,512 = 720,512/x
  3. Step 3: Cross multiply
    329,408x = 720,512 × 720,512
  4. Step 4: Simplify right side
    329,408x = 519,137,542,144
  5. Step 5: Solve for x
    x = 519,137,542,144/329,408
  6. Step 6: Final answer
    x = 1,575,971.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.