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Finding the Third Proportional to 12,776 and 19,936

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Solution

The third proportional to 12,776 and 19,936 is: 31,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776 : 19,936 = 19,936 : x
  2. Step 2: Convert to fraction form
    12,776/19,936 = 19,936/x
  3. Step 3: Cross multiply
    12,776x = 19,936 × 19,936
  4. Step 4: Simplify right side
    12,776x = 397,444,096
  5. Step 5: Solve for x
    x = 397,444,096/12,776
  6. Step 6: Final answer
    x = 31,108.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.