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Finding the Third Proportional to 217,233 and 303,480

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Solution

The third proportional to 217,233 and 303,480 is: 423,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,233 : 303,480 = 303,480 : x
  2. Step 2: Convert to fraction form
    217,233/303,480 = 303,480/x
  3. Step 3: Cross multiply
    217,233x = 303,480 × 303,480
  4. Step 4: Simplify right side
    217,233x = 92,100,110,400
  5. Step 5: Solve for x
    x = 92,100,110,400/217,233
  6. Step 6: Final answer
    x = 423,969.24

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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.