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Finding the Third Proportional to 16,282 and 33,428

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Solution

The third proportional to 16,282 and 33,428 is: 68,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282 : 33,428 = 33,428 : x
  2. Step 2: Convert to fraction form
    16,282/33,428 = 33,428/x
  3. Step 3: Cross multiply
    16,282x = 33,428 × 33,428
  4. Step 4: Simplify right side
    16,282x = 1,117,431,184
  5. Step 5: Solve for x
    x = 1,117,431,184/16,282
  6. Step 6: Final answer
    x = 68,629.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.