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Finding the Third Proportional to 201,215.25 and 281,999.25

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Solution

The third proportional to 201,215.25 and 281,999.25 is: 395,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,215.25 : 281,999.25 = 281,999.25 : x
  2. Step 2: Convert to fraction form
    201,215.25/281,999.25 = 281,999.25/x
  3. Step 3: Cross multiply
    201,215.25x = 281,999.25 × 281,999.25
  4. Step 4: Simplify right side
    201,215.25x = 79,523,577,000.56
  5. Step 5: Solve for x
    x = 79,523,577,000.56/201,215.25
  6. Step 6: Final answer
    x = 395,216.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.