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Finding the Third Proportional to 13,509 and 14,949

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Solution

The third proportional to 13,509 and 14,949 is: 16,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509 : 14,949 = 14,949 : x
  2. Step 2: Convert to fraction form
    13,509/14,949 = 14,949/x
  3. Step 3: Cross multiply
    13,509x = 14,949 × 14,949
  4. Step 4: Simplify right side
    13,509x = 223,472,601
  5. Step 5: Solve for x
    x = 223,472,601/13,509
  6. Step 6: Final answer
    x = 16,542.50

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.