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Finding the Third Proportional to 149,722 and 215,214

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Solution

The third proportional to 149,722 and 215,214 is: 309,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,722 : 215,214 = 215,214 : x
  2. Step 2: Convert to fraction form
    149,722/215,214 = 215,214/x
  3. Step 3: Cross multiply
    149,722x = 215,214 × 215,214
  4. Step 4: Simplify right side
    149,722x = 46,317,065,796
  5. Step 5: Solve for x
    x = 46,317,065,796/149,722
  6. Step 6: Final answer
    x = 309,353.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.