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Finding the Third Proportional to 382,780.69 and 804,745.13

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Solution

The third proportional to 382,780.69 and 804,745.13 is: 1,691,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,780.69 : 804,745.13 = 804,745.13 : x
  2. Step 2: Convert to fraction form
    382,780.69/804,745.13 = 804,745.13/x
  3. Step 3: Cross multiply
    382,780.69x = 804,745.13 × 804,745.13
  4. Step 4: Simplify right side
    382,780.69x = 647,614,716,211.27
  5. Step 5: Solve for x
    x = 647,614,716,211.27/382,780.69
  6. Step 6: Final answer
    x = 1,691,868.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.