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Finding the Third Proportional to 383,137.88 and 821,325.38

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Solution

The third proportional to 383,137.88 and 821,325.38 is: 1,760,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,137.88 : 821,325.38 = 821,325.38 : x
  2. Step 2: Convert to fraction form
    383,137.88/821,325.38 = 821,325.38/x
  3. Step 3: Cross multiply
    383,137.88x = 821,325.38 × 821,325.38
  4. Step 4: Simplify right side
    383,137.88x = 674,575,371,618.89
  5. Step 5: Solve for x
    x = 674,575,371,618.89/383,137.88
  6. Step 6: Final answer
    x = 1,760,659.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.