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Finding the Third Proportional to 12,869 and 14,213

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Solution

The third proportional to 12,869 and 14,213 is: 15,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869 : 14,213 = 14,213 : x
  2. Step 2: Convert to fraction form
    12,869/14,213 = 14,213/x
  3. Step 3: Cross multiply
    12,869x = 14,213 × 14,213
  4. Step 4: Simplify right side
    12,869x = 202,009,369
  5. Step 5: Solve for x
    x = 202,009,369/12,869
  6. Step 6: Final answer
    x = 15,697.36

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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.