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Finding the Third Proportional to 10,642 and 16,899

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Solution

The third proportional to 10,642 and 16,899 is: 26,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642 : 16,899 = 16,899 : x
  2. Step 2: Convert to fraction form
    10,642/16,899 = 16,899/x
  3. Step 3: Cross multiply
    10,642x = 16,899 × 16,899
  4. Step 4: Simplify right side
    10,642x = 285,576,201
  5. Step 5: Solve for x
    x = 285,576,201/10,642
  6. Step 6: Final answer
    x = 26,834.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.