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Finding the Third Proportional to 46,508 and 100,896

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Solution

The third proportional to 46,508 and 100,896 is: 218,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,508 : 100,896 = 100,896 : x
  2. Step 2: Convert to fraction form
    46,508/100,896 = 100,896/x
  3. Step 3: Cross multiply
    46,508x = 100,896 × 100,896
  4. Step 4: Simplify right side
    46,508x = 10,180,002,816
  5. Step 5: Solve for x
    x = 10,180,002,816/46,508
  6. Step 6: Final answer
    x = 218,887.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.