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Finding the Third Proportional to 142,533 and 222,425

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Solution

The third proportional to 142,533 and 222,425 is: 347,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,533 : 222,425 = 222,425 : x
  2. Step 2: Convert to fraction form
    142,533/222,425 = 222,425/x
  3. Step 3: Cross multiply
    142,533x = 222,425 × 222,425
  4. Step 4: Simplify right side
    142,533x = 49,472,880,625
  5. Step 5: Solve for x
    x = 49,472,880,625/142,533
  6. Step 6: Final answer
    x = 347,097.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.