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Finding the Third Proportional to 368,272 and 815,168

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Solution

The third proportional to 368,272 and 815,168 is: 1,804,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,272 : 815,168 = 815,168 : x
  2. Step 2: Convert to fraction form
    368,272/815,168 = 815,168/x
  3. Step 3: Cross multiply
    368,272x = 815,168 × 815,168
  4. Step 4: Simplify right side
    368,272x = 664,498,868,224
  5. Step 5: Solve for x
    x = 664,498,868,224/368,272
  6. Step 6: Final answer
    x = 1,804,369.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.