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Finding the Third Proportional to 149,986 and 210,944

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Solution

The third proportional to 149,986 and 210,944 is: 296,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,986 : 210,944 = 210,944 : x
  2. Step 2: Convert to fraction form
    149,986/210,944 = 210,944/x
  3. Step 3: Cross multiply
    149,986x = 210,944 × 210,944
  4. Step 4: Simplify right side
    149,986x = 44,497,371,136
  5. Step 5: Solve for x
    x = 44,497,371,136/149,986
  6. Step 6: Final answer
    x = 296,676.83

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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.