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Finding the Third Proportional to 149,219 and 210,939

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Solution

The third proportional to 149,219 and 210,939 is: 298,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,219 : 210,939 = 210,939 : x
  2. Step 2: Convert to fraction form
    149,219/210,939 = 210,939/x
  3. Step 3: Cross multiply
    149,219x = 210,939 × 210,939
  4. Step 4: Simplify right side
    149,219x = 44,495,261,721
  5. Step 5: Solve for x
    x = 44,495,261,721/149,219
  6. Step 6: Final answer
    x = 298,187.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.