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Finding the Third Proportional to 12,705 and 18,151

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Solution

The third proportional to 12,705 and 18,151 is: 25,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705 : 18,151 = 18,151 : x
  2. Step 2: Convert to fraction form
    12,705/18,151 = 18,151/x
  3. Step 3: Cross multiply
    12,705x = 18,151 × 18,151
  4. Step 4: Simplify right side
    12,705x = 329,458,801
  5. Step 5: Solve for x
    x = 329,458,801/12,705
  6. Step 6: Final answer
    x = 25,931.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.