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Finding the Third Proportional to 12,129.38 and 16,299

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Solution

The third proportional to 12,129.38 and 16,299 is: 21,901.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.38 : 16,299 = 16,299 : x
  2. Step 2: Convert to fraction form
    12,129.38/16,299 = 16,299/x
  3. Step 3: Cross multiply
    12,129.38x = 16,299 × 16,299
  4. Step 4: Simplify right side
    12,129.38x = 265,657,401
  5. Step 5: Solve for x
    x = 265,657,401/12,129.38
  6. Step 6: Final answer
    x = 21,901.99

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.