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Finding the Third Proportional to 10,769 and 23,236

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Solution

The third proportional to 10,769 and 23,236 is: 50,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769 : 23,236 = 23,236 : x
  2. Step 2: Convert to fraction form
    10,769/23,236 = 23,236/x
  3. Step 3: Cross multiply
    10,769x = 23,236 × 23,236
  4. Step 4: Simplify right side
    10,769x = 539,911,696
  5. Step 5: Solve for x
    x = 539,911,696/10,769
  6. Step 6: Final answer
    x = 50,135.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.