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Finding the Third Proportional to 44,751 and 96,509

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Solution

The third proportional to 44,751 and 96,509 is: 208,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,751 : 96,509 = 96,509 : x
  2. Step 2: Convert to fraction form
    44,751/96,509 = 96,509/x
  3. Step 3: Cross multiply
    44,751x = 96,509 × 96,509
  4. Step 4: Simplify right side
    44,751x = 9,313,987,081
  5. Step 5: Solve for x
    x = 9,313,987,081/44,751
  6. Step 6: Final answer
    x = 208,129.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.