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Finding the Third Proportional to 217,119 and 449,035.50

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Solution

The third proportional to 217,119 and 449,035.50 is: 928,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,119 : 449,035.50 = 449,035.50 : x
  2. Step 2: Convert to fraction form
    217,119/449,035.50 = 449,035.50/x
  3. Step 3: Cross multiply
    217,119x = 449,035.50 × 449,035.50
  4. Step 4: Simplify right side
    217,119x = 201,632,880,260.25
  5. Step 5: Solve for x
    x = 201,632,880,260.25/217,119
  6. Step 6: Final answer
    x = 928,674.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.