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Finding the Third Proportional to 201,215 and 321,505

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Solution

The third proportional to 201,215 and 321,505 is: 513,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,215 : 321,505 = 321,505 : x
  2. Step 2: Convert to fraction form
    201,215/321,505 = 321,505/x
  3. Step 3: Cross multiply
    201,215x = 321,505 × 321,505
  4. Step 4: Simplify right side
    201,215x = 103,365,465,025
  5. Step 5: Solve for x
    x = 103,365,465,025/201,215
  6. Step 6: Final answer
    x = 513,706.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.