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Finding the Third Proportional to 201,215 and 281,998.50

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Solution

The third proportional to 201,215 and 281,998.50 is: 395,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,215 : 281,998.50 = 281,998.50 : x
  2. Step 2: Convert to fraction form
    201,215/281,998.50 = 281,998.50/x
  3. Step 3: Cross multiply
    201,215x = 281,998.50 × 281,998.50
  4. Step 4: Simplify right side
    201,215x = 79,523,154,002.25
  5. Step 5: Solve for x
    x = 79,523,154,002.25/201,215
  6. Step 6: Final answer
    x = 395,214.84

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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.