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Finding the Third Proportional to 181,148 and 395,208

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Solution

The third proportional to 181,148 and 395,208 is: 862,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,148 : 395,208 = 395,208 : x
  2. Step 2: Convert to fraction form
    181,148/395,208 = 395,208/x
  3. Step 3: Cross multiply
    181,148x = 395,208 × 395,208
  4. Step 4: Simplify right side
    181,148x = 156,189,363,264
  5. Step 5: Solve for x
    x = 156,189,363,264/181,148
  6. Step 6: Final answer
    x = 862,219.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.