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Finding the Third Proportional to 181,212 and 368,438

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Solution

The third proportional to 181,212 and 368,438 is: 749,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,212 : 368,438 = 368,438 : x
  2. Step 2: Convert to fraction form
    181,212/368,438 = 368,438/x
  3. Step 3: Cross multiply
    181,212x = 368,438 × 368,438
  4. Step 4: Simplify right side
    181,212x = 135,746,559,844
  5. Step 5: Solve for x
    x = 135,746,559,844/181,212
  6. Step 6: Final answer
    x = 749,103.59

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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.