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Finding the Third Proportional to 139,977 and 212,557

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Solution

The third proportional to 139,977 and 212,557 is: 322,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,977 : 212,557 = 212,557 : x
  2. Step 2: Convert to fraction form
    139,977/212,557 = 212,557/x
  3. Step 3: Cross multiply
    139,977x = 212,557 × 212,557
  4. Step 4: Simplify right side
    139,977x = 45,180,478,249
  5. Step 5: Solve for x
    x = 45,180,478,249/139,977
  6. Step 6: Final answer
    x = 322,770.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.