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Finding the Third Proportional to 12,216 and 18,458

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Solution

The third proportional to 12,216 and 18,458 is: 27,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216 : 18,458 = 18,458 : x
  2. Step 2: Convert to fraction form
    12,216/18,458 = 18,458/x
  3. Step 3: Cross multiply
    12,216x = 18,458 × 18,458
  4. Step 4: Simplify right side
    12,216x = 340,697,764
  5. Step 5: Solve for x
    x = 340,697,764/12,216
  6. Step 6: Final answer
    x = 27,889.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.