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Finding the Third Proportional to 213,667 and 309,476

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Solution

The third proportional to 213,667 and 309,476 is: 448,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,667 : 309,476 = 309,476 : x
  2. Step 2: Convert to fraction form
    213,667/309,476 = 309,476/x
  3. Step 3: Cross multiply
    213,667x = 309,476 × 309,476
  4. Step 4: Simplify right side
    213,667x = 95,775,394,576
  5. Step 5: Solve for x
    x = 95,775,394,576/213,667
  6. Step 6: Final answer
    x = 448,246.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.