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Finding the Third Proportional to 141,667 and 210,907

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Solution

The third proportional to 141,667 and 210,907 is: 313,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,667 : 210,907 = 210,907 : x
  2. Step 2: Convert to fraction form
    141,667/210,907 = 210,907/x
  3. Step 3: Cross multiply
    141,667x = 210,907 × 210,907
  4. Step 4: Simplify right side
    141,667x = 44,481,762,649
  5. Step 5: Solve for x
    x = 44,481,762,649/141,667
  6. Step 6: Final answer
    x = 313,988.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.