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Finding the Third Proportional to 139,812 and 222,386

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Solution

The third proportional to 139,812 and 222,386 is: 353,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,812 : 222,386 = 222,386 : x
  2. Step 2: Convert to fraction form
    139,812/222,386 = 222,386/x
  3. Step 3: Cross multiply
    139,812x = 222,386 × 222,386
  4. Step 4: Simplify right side
    139,812x = 49,455,532,996
  5. Step 5: Solve for x
    x = 49,455,532,996/139,812
  6. Step 6: Final answer
    x = 353,728.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.