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Finding the Third Proportional to 152,181 and 219,201

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Solution

The third proportional to 152,181 and 219,201 is: 315,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,181 : 219,201 = 219,201 : x
  2. Step 2: Convert to fraction form
    152,181/219,201 = 219,201/x
  3. Step 3: Cross multiply
    152,181x = 219,201 × 219,201
  4. Step 4: Simplify right side
    152,181x = 48,049,078,401
  5. Step 5: Solve for x
    x = 48,049,078,401/152,181
  6. Step 6: Final answer
    x = 315,736.38

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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.