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Finding the Third Proportional to 77,040 and 122,568

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Solution

The third proportional to 77,040 and 122,568 is: 195,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,040 : 122,568 = 122,568 : x
  2. Step 2: Convert to fraction form
    77,040/122,568 = 122,568/x
  3. Step 3: Cross multiply
    77,040x = 122,568 × 122,568
  4. Step 4: Simplify right side
    77,040x = 15,022,914,624
  5. Step 5: Solve for x
    x = 15,022,914,624/77,040
  6. Step 6: Final answer
    x = 195,001.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.