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Finding the Third Proportional to 213,969 and 317,667

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Solution

The third proportional to 213,969 and 317,667 is: 471,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,969 : 317,667 = 317,667 : x
  2. Step 2: Convert to fraction form
    213,969/317,667 = 317,667/x
  3. Step 3: Cross multiply
    213,969x = 317,667 × 317,667
  4. Step 4: Simplify right side
    213,969x = 100,912,322,889
  5. Step 5: Solve for x
    x = 100,912,322,889/213,969
  6. Step 6: Final answer
    x = 471,621.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.