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Finding the Third Proportional to 151,609 and 321,701

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Solution

The third proportional to 151,609 and 321,701 is: 682,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,609 : 321,701 = 321,701 : x
  2. Step 2: Convert to fraction form
    151,609/321,701 = 321,701/x
  3. Step 3: Cross multiply
    151,609x = 321,701 × 321,701
  4. Step 4: Simplify right side
    151,609x = 103,491,533,401
  5. Step 5: Solve for x
    x = 103,491,533,401/151,609
  6. Step 6: Final answer
    x = 682,621.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.