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Finding the Third Proportional to 217,971 and 327,172.50

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Solution

The third proportional to 217,971 and 327,172.50 is: 491,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,971 : 327,172.50 = 327,172.50 : x
  2. Step 2: Convert to fraction form
    217,971/327,172.50 = 327,172.50/x
  3. Step 3: Cross multiply
    217,971x = 327,172.50 × 327,172.50
  4. Step 4: Simplify right side
    217,971x = 107,041,844,756.25
  5. Step 5: Solve for x
    x = 107,041,844,756.25/217,971
  6. Step 6: Final answer
    x = 491,082.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.