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Finding the Third Proportional to 54,720 and 128,832

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Solution

The third proportional to 54,720 and 128,832 is: 303,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,720 : 128,832 = 128,832 : x
  2. Step 2: Convert to fraction form
    54,720/128,832 = 128,832/x
  3. Step 3: Cross multiply
    54,720x = 128,832 × 128,832
  4. Step 4: Simplify right side
    54,720x = 16,597,684,224
  5. Step 5: Solve for x
    x = 16,597,684,224/54,720
  6. Step 6: Final answer
    x = 303,320.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.