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Finding the Third Proportional to 4,890 and 12,729

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Solution

The third proportional to 4,890 and 12,729 is: 33,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890 : 12,729 = 12,729 : x
  2. Step 2: Convert to fraction form
    4,890/12,729 = 12,729/x
  3. Step 3: Cross multiply
    4,890x = 12,729 × 12,729
  4. Step 4: Simplify right side
    4,890x = 162,027,441
  5. Step 5: Solve for x
    x = 162,027,441/4,890
  6. Step 6: Final answer
    x = 33,134.45

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.