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Finding the Third Proportional to 309,593 and 680,075

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Solution

The third proportional to 309,593 and 680,075 is: 1,493,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,593 : 680,075 = 680,075 : x
  2. Step 2: Convert to fraction form
    309,593/680,075 = 680,075/x
  3. Step 3: Cross multiply
    309,593x = 680,075 × 680,075
  4. Step 4: Simplify right side
    309,593x = 462,502,005,625
  5. Step 5: Solve for x
    x = 462,502,005,625/309,593
  6. Step 6: Final answer
    x = 1,493,903.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.