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Finding the Third Proportional to 149,206 and 212,442

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Solution

The third proportional to 149,206 and 212,442 is: 302,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,206 : 212,442 = 212,442 : x
  2. Step 2: Convert to fraction form
    149,206/212,442 = 212,442/x
  3. Step 3: Cross multiply
    149,206x = 212,442 × 212,442
  4. Step 4: Simplify right side
    149,206x = 45,131,603,364
  5. Step 5: Solve for x
    x = 45,131,603,364/149,206
  6. Step 6: Final answer
    x = 302,478.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.