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Finding the Third Proportional to 94,366 and 222,447

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Solution

The third proportional to 94,366 and 222,447 is: 524,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,366 : 222,447 = 222,447 : x
  2. Step 2: Convert to fraction form
    94,366/222,447 = 222,447/x
  3. Step 3: Cross multiply
    94,366x = 222,447 × 222,447
  4. Step 4: Simplify right side
    94,366x = 49,482,667,809
  5. Step 5: Solve for x
    x = 49,482,667,809/94,366
  6. Step 6: Final answer
    x = 524,369.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.