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Finding the Third Proportional to 201,231 and 415,219.50

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Solution

The third proportional to 201,231 and 415,219.50 is: 856,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231 : 415,219.50 = 415,219.50 : x
  2. Step 2: Convert to fraction form
    201,231/415,219.50 = 415,219.50/x
  3. Step 3: Cross multiply
    201,231x = 415,219.50 × 415,219.50
  4. Step 4: Simplify right side
    201,231x = 172,407,233,180.25
  5. Step 5: Solve for x
    x = 172,407,233,180.25/201,231
  6. Step 6: Final answer
    x = 856,762.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.