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Finding the Third Proportional to 12,729 and 26,970

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Solution

The third proportional to 12,729 and 26,970 is: 57,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729 : 26,970 = 26,970 : x
  2. Step 2: Convert to fraction form
    12,729/26,970 = 26,970/x
  3. Step 3: Cross multiply
    12,729x = 26,970 × 26,970
  4. Step 4: Simplify right side
    12,729x = 727,380,900
  5. Step 5: Solve for x
    x = 727,380,900/12,729
  6. Step 6: Final answer
    x = 57,143.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.