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Finding the Third Proportional to 365,652 and 815,328

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Solution

The third proportional to 365,652 and 815,328 is: 1,818,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,652 : 815,328 = 815,328 : x
  2. Step 2: Convert to fraction form
    365,652/815,328 = 815,328/x
  3. Step 3: Cross multiply
    365,652x = 815,328 × 815,328
  4. Step 4: Simplify right side
    365,652x = 664,759,747,584
  5. Step 5: Solve for x
    x = 664,759,747,584/365,652
  6. Step 6: Final answer
    x = 1,818,012.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.