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Finding the Third Proportional to 9,846 and 11,871

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Solution

The third proportional to 9,846 and 11,871 is: 14,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 11,871 = 11,871 : x
  2. Step 2: Convert to fraction form
    9,846/11,871 = 11,871/x
  3. Step 3: Cross multiply
    9,846x = 11,871 × 11,871
  4. Step 4: Simplify right side
    9,846x = 140,920,641
  5. Step 5: Solve for x
    x = 140,920,641/9,846
  6. Step 6: Final answer
    x = 14,312.48

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.