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Finding the Third Proportional to 12,984.75 and 20,342.25

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Solution

The third proportional to 12,984.75 and 20,342.25 is: 31,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.75 : 20,342.25 = 20,342.25 : x
  2. Step 2: Convert to fraction form
    12,984.75/20,342.25 = 20,342.25/x
  3. Step 3: Cross multiply
    12,984.75x = 20,342.25 × 20,342.25
  4. Step 4: Simplify right side
    12,984.75x = 413,807,135.06
  5. Step 5: Solve for x
    x = 413,807,135.06/12,984.75
  6. Step 6: Final answer
    x = 31,868.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.