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Finding the Third Proportional to 77,568 and 160,896

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Solution

The third proportional to 77,568 and 160,896 is: 333,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,568 : 160,896 = 160,896 : x
  2. Step 2: Convert to fraction form
    77,568/160,896 = 160,896/x
  3. Step 3: Cross multiply
    77,568x = 160,896 × 160,896
  4. Step 4: Simplify right side
    77,568x = 25,887,522,816
  5. Step 5: Solve for x
    x = 25,887,522,816/77,568
  6. Step 6: Final answer
    x = 333,739.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.