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Finding the Third Proportional to 12,783 and 20,497.50

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Solution

The third proportional to 12,783 and 20,497.50 is: 32,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783 : 20,497.50 = 20,497.50 : x
  2. Step 2: Convert to fraction form
    12,783/20,497.50 = 20,497.50/x
  3. Step 3: Cross multiply
    12,783x = 20,497.50 × 20,497.50
  4. Step 4: Simplify right side
    12,783x = 420,147,506.25
  5. Step 5: Solve for x
    x = 420,147,506.25/12,783
  6. Step 6: Final answer
    x = 32,867.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.