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Finding the Third Proportional to 145,344 and 222,236

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Solution

The third proportional to 145,344 and 222,236 is: 339,806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,344 : 222,236 = 222,236 : x
  2. Step 2: Convert to fraction form
    145,344/222,236 = 222,236/x
  3. Step 3: Cross multiply
    145,344x = 222,236 × 222,236
  4. Step 4: Simplify right side
    145,344x = 49,388,839,696
  5. Step 5: Solve for x
    x = 49,388,839,696/145,344
  6. Step 6: Final answer
    x = 339,806.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.