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Finding the Third Proportional to 12,679 and 16,827.50

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Solution

The third proportional to 12,679 and 16,827.50 is: 22,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679 : 16,827.50 = 16,827.50 : x
  2. Step 2: Convert to fraction form
    12,679/16,827.50 = 16,827.50/x
  3. Step 3: Cross multiply
    12,679x = 16,827.50 × 16,827.50
  4. Step 4: Simplify right side
    12,679x = 283,164,756.25
  5. Step 5: Solve for x
    x = 283,164,756.25/12,679
  6. Step 6: Final answer
    x = 22,333.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.