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Finding the Third Proportional to 12,816 and 27,140

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Solution

The third proportional to 12,816 and 27,140 is: 57,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816 : 27,140 = 27,140 : x
  2. Step 2: Convert to fraction form
    12,816/27,140 = 27,140/x
  3. Step 3: Cross multiply
    12,816x = 27,140 × 27,140
  4. Step 4: Simplify right side
    12,816x = 736,579,600
  5. Step 5: Solve for x
    x = 736,579,600/12,816
  6. Step 6: Final answer
    x = 57,473.44

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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.