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Finding the Third Proportional to 199,955 and 317,995

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Solution

The third proportional to 199,955 and 317,995 is: 505,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,955 : 317,995 = 317,995 : x
  2. Step 2: Convert to fraction form
    199,955/317,995 = 317,995/x
  3. Step 3: Cross multiply
    199,955x = 317,995 × 317,995
  4. Step 4: Simplify right side
    199,955x = 101,120,820,025
  5. Step 5: Solve for x
    x = 101,120,820,025/199,955
  6. Step 6: Final answer
    x = 505,717.89

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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.