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Finding the Third Proportional to 150,579 and 221,697

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Solution

The third proportional to 150,579 and 221,697 is: 326,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,579 : 221,697 = 221,697 : x
  2. Step 2: Convert to fraction form
    150,579/221,697 = 221,697/x
  3. Step 3: Cross multiply
    150,579x = 221,697 × 221,697
  4. Step 4: Simplify right side
    150,579x = 49,149,559,809
  5. Step 5: Solve for x
    x = 49,149,559,809/150,579
  6. Step 6: Final answer
    x = 326,403.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.