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Finding the Third Proportional to 159,438 and 349,977

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Solution

The third proportional to 159,438 and 349,977 is: 768,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,438 : 349,977 = 349,977 : x
  2. Step 2: Convert to fraction form
    159,438/349,977 = 349,977/x
  3. Step 3: Cross multiply
    159,438x = 349,977 × 349,977
  4. Step 4: Simplify right side
    159,438x = 122,483,900,529
  5. Step 5: Solve for x
    x = 122,483,900,529/159,438
  6. Step 6: Final answer
    x = 768,222.76

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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.