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Finding the Third Proportional to 10,138 and 14,815

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Solution

The third proportional to 10,138 and 14,815 is: 21,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138 : 14,815 = 14,815 : x
  2. Step 2: Convert to fraction form
    10,138/14,815 = 14,815/x
  3. Step 3: Cross multiply
    10,138x = 14,815 × 14,815
  4. Step 4: Simplify right side
    10,138x = 219,484,225
  5. Step 5: Solve for x
    x = 219,484,225/10,138
  6. Step 6: Final answer
    x = 21,649.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.