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Finding the Third Proportional to 21,945 and 46,509

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Solution

The third proportional to 21,945 and 46,509 is: 98,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,945 : 46,509 = 46,509 : x
  2. Step 2: Convert to fraction form
    21,945/46,509 = 46,509/x
  3. Step 3: Cross multiply
    21,945x = 46,509 × 46,509
  4. Step 4: Simplify right side
    21,945x = 2,163,087,081
  5. Step 5: Solve for x
    x = 2,163,087,081/21,945
  6. Step 6: Final answer
    x = 98,568.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.