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Finding the Third Proportional to 199,895 and 317,759

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Solution

The third proportional to 199,895 and 317,759 is: 505,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,895 : 317,759 = 317,759 : x
  2. Step 2: Convert to fraction form
    199,895/317,759 = 317,759/x
  3. Step 3: Cross multiply
    199,895x = 317,759 × 317,759
  4. Step 4: Simplify right side
    199,895x = 100,970,782,081
  5. Step 5: Solve for x
    x = 100,970,782,081/199,895
  6. Step 6: Final answer
    x = 505,119.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.