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Finding the Third Proportional to 94,602 and 203,556

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Solution

The third proportional to 94,602 and 203,556 is: 437,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,602 : 203,556 = 203,556 : x
  2. Step 2: Convert to fraction form
    94,602/203,556 = 203,556/x
  3. Step 3: Cross multiply
    94,602x = 203,556 × 203,556
  4. Step 4: Simplify right side
    94,602x = 41,435,045,136
  5. Step 5: Solve for x
    x = 41,435,045,136/94,602
  6. Step 6: Final answer
    x = 437,993.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.