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Finding the Third Proportional to 9,846 and 11,310

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Solution

The third proportional to 9,846 and 11,310 is: 12,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 11,310 = 11,310 : x
  2. Step 2: Convert to fraction form
    9,846/11,310 = 11,310/x
  3. Step 3: Cross multiply
    9,846x = 11,310 × 11,310
  4. Step 4: Simplify right side
    9,846x = 127,916,100
  5. Step 5: Solve for x
    x = 127,916,100/9,846
  6. Step 6: Final answer
    x = 12,991.68

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.