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Finding the Third Proportional to 13,607 and 19,945

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Solution

The third proportional to 13,607 and 19,945 is: 29,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607 : 19,945 = 19,945 : x
  2. Step 2: Convert to fraction form
    13,607/19,945 = 19,945/x
  3. Step 3: Cross multiply
    13,607x = 19,945 × 19,945
  4. Step 4: Simplify right side
    13,607x = 397,803,025
  5. Step 5: Solve for x
    x = 397,803,025/13,607
  6. Step 6: Final answer
    x = 29,235.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.