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Finding the Third Proportional to 317,000 and 683,936

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Solution

The third proportional to 317,000 and 683,936 is: 1,475,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,000 : 683,936 = 683,936 : x
  2. Step 2: Convert to fraction form
    317,000/683,936 = 683,936/x
  3. Step 3: Cross multiply
    317,000x = 683,936 × 683,936
  4. Step 4: Simplify right side
    317,000x = 467,768,452,096
  5. Step 5: Solve for x
    x = 467,768,452,096/317,000
  6. Step 6: Final answer
    x = 1,475,610.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.