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Finding the Third Proportional to 8,631.56 and 12,782.81

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Solution

The third proportional to 8,631.56 and 12,782.81 is: 18,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,631.56 : 12,782.81 = 12,782.81 : x
  2. Step 2: Convert to fraction form
    8,631.56/12,782.81 = 12,782.81/x
  3. Step 3: Cross multiply
    8,631.56x = 12,782.81 × 12,782.81
  4. Step 4: Simplify right side
    8,631.56x = 163,400,295.41
  5. Step 5: Solve for x
    x = 163,400,295.41/8,631.56
  6. Step 6: Final answer
    x = 18,930.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.