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Finding the Third Proportional to 139,232 and 203,816

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Solution

The third proportional to 139,232 and 203,816 is: 298,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,232 : 203,816 = 203,816 : x
  2. Step 2: Convert to fraction form
    139,232/203,816 = 203,816/x
  3. Step 3: Cross multiply
    139,232x = 203,816 × 203,816
  4. Step 4: Simplify right side
    139,232x = 41,540,961,856
  5. Step 5: Solve for x
    x = 41,540,961,856/139,232
  6. Step 6: Final answer
    x = 298,357.86

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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.