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Finding the Third Proportional to 37,509 and 81,759

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Solution

The third proportional to 37,509 and 81,759 is: 178,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,509 : 81,759 = 81,759 : x
  2. Step 2: Convert to fraction form
    37,509/81,759 = 81,759/x
  3. Step 3: Cross multiply
    37,509x = 81,759 × 81,759
  4. Step 4: Simplify right side
    37,509x = 6,684,534,081
  5. Step 5: Solve for x
    x = 6,684,534,081/37,509
  6. Step 6: Final answer
    x = 178,211.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.