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Finding the Third Proportional to 12,509 and 20,852

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Solution

The third proportional to 12,509 and 20,852 is: 34,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509 : 20,852 = 20,852 : x
  2. Step 2: Convert to fraction form
    12,509/20,852 = 20,852/x
  3. Step 3: Cross multiply
    12,509x = 20,852 × 20,852
  4. Step 4: Simplify right side
    12,509x = 434,805,904
  5. Step 5: Solve for x
    x = 434,805,904/12,509
  6. Step 6: Final answer
    x = 34,759.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.