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Finding the Third Proportional to 12,984.56 and 27,908.72

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Solution

The third proportional to 12,984.56 and 27,908.72 is: 59,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.56 : 27,908.72 = 27,908.72 : x
  2. Step 2: Convert to fraction form
    12,984.56/27,908.72 = 27,908.72/x
  3. Step 3: Cross multiply
    12,984.56x = 27,908.72 × 27,908.72
  4. Step 4: Simplify right side
    12,984.56x = 778,896,582.27
  5. Step 5: Solve for x
    x = 778,896,582.27/12,984.56
  6. Step 6: Final answer
    x = 59,986.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.