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Finding the Third Proportional to 7,851 and 11,523

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Solution

The third proportional to 7,851 and 11,523 is: 16,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851 : 11,523 = 11,523 : x
  2. Step 2: Convert to fraction form
    7,851/11,523 = 11,523/x
  3. Step 3: Cross multiply
    7,851x = 11,523 × 11,523
  4. Step 4: Simplify right side
    7,851x = 132,779,529
  5. Step 5: Solve for x
    x = 132,779,529/7,851
  6. Step 6: Final answer
    x = 16,912.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.