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Finding the Third Proportional to 199,893 and 317,756

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Solution

The third proportional to 199,893 and 317,756 is: 505,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,893 : 317,756 = 317,756 : x
  2. Step 2: Convert to fraction form
    199,893/317,756 = 317,756/x
  3. Step 3: Cross multiply
    199,893x = 317,756 × 317,756
  4. Step 4: Simplify right side
    199,893x = 100,968,875,536
  5. Step 5: Solve for x
    x = 100,968,875,536/199,893
  6. Step 6: Final answer
    x = 505,114.61

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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.