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Finding the Third Proportional to 330,593 and 510,956

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Solution

The third proportional to 330,593 and 510,956 is: 789,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,593 : 510,956 = 510,956 : x
  2. Step 2: Convert to fraction form
    330,593/510,956 = 510,956/x
  3. Step 3: Cross multiply
    330,593x = 510,956 × 510,956
  4. Step 4: Simplify right side
    330,593x = 261,076,033,936
  5. Step 5: Solve for x
    x = 261,076,033,936/330,593
  6. Step 6: Final answer
    x = 789,720.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.