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Finding the Third Proportional to 9,846 and 13,265.44

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Solution

The third proportional to 9,846 and 13,265.44 is: 17,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 13,265.44 = 13,265.44 : x
  2. Step 2: Convert to fraction form
    9,846/13,265.44 = 13,265.44/x
  3. Step 3: Cross multiply
    9,846x = 13,265.44 × 13,265.44
  4. Step 4: Simplify right side
    9,846x = 175,971,832.07
  5. Step 5: Solve for x
    x = 175,971,832.07/9,846
  6. Step 6: Final answer
    x = 17,872.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.