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Finding the Third Proportional to 181,208 and 368,430

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Solution

The third proportional to 181,208 and 368,430 is: 749,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,208 : 368,430 = 368,430 : x
  2. Step 2: Convert to fraction form
    181,208/368,430 = 368,430/x
  3. Step 3: Cross multiply
    181,208x = 368,430 × 368,430
  4. Step 4: Simplify right side
    181,208x = 135,740,664,900
  5. Step 5: Solve for x
    x = 135,740,664,900/181,208
  6. Step 6: Final answer
    x = 749,087.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.