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Finding the Third Proportional to 12,776 and 14,108

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Solution

The third proportional to 12,776 and 14,108 is: 15,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776 : 14,108 = 14,108 : x
  2. Step 2: Convert to fraction form
    12,776/14,108 = 14,108/x
  3. Step 3: Cross multiply
    12,776x = 14,108 × 14,108
  4. Step 4: Simplify right side
    12,776x = 199,035,664
  5. Step 5: Solve for x
    x = 199,035,664/12,776
  6. Step 6: Final answer
    x = 15,578.87

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.