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Finding the Third Proportional to 12,258 and 17,261

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Solution

The third proportional to 12,258 and 17,261 is: 24,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258 : 17,261 = 17,261 : x
  2. Step 2: Convert to fraction form
    12,258/17,261 = 17,261/x
  3. Step 3: Cross multiply
    12,258x = 17,261 × 17,261
  4. Step 4: Simplify right side
    12,258x = 297,942,121
  5. Step 5: Solve for x
    x = 297,942,121/12,258
  6. Step 6: Final answer
    x = 24,305.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.