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Finding the Third Proportional to 3,798 and 9,603

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Solution

The third proportional to 3,798 and 9,603 is: 24,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798 : 9,603 = 9,603 : x
  2. Step 2: Convert to fraction form
    3,798/9,603 = 9,603/x
  3. Step 3: Cross multiply
    3,798x = 9,603 × 9,603
  4. Step 4: Simplify right side
    3,798x = 92,217,609
  5. Step 5: Solve for x
    x = 92,217,609/3,798
  6. Step 6: Final answer
    x = 24,280.57

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.