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Finding the Third Proportional to 139,310 and 203,004

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Solution

The third proportional to 139,310 and 203,004 is: 295,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,310 : 203,004 = 203,004 : x
  2. Step 2: Convert to fraction form
    139,310/203,004 = 203,004/x
  3. Step 3: Cross multiply
    139,310x = 203,004 × 203,004
  4. Step 4: Simplify right side
    139,310x = 41,210,624,016
  5. Step 5: Solve for x
    x = 41,210,624,016/139,310
  6. Step 6: Final answer
    x = 295,819.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.