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Finding the Third Proportional to 54,816 and 128,160

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Solution

The third proportional to 54,816 and 128,160 is: 299,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,816 : 128,160 = 128,160 : x
  2. Step 2: Convert to fraction form
    54,816/128,160 = 128,160/x
  3. Step 3: Cross multiply
    54,816x = 128,160 × 128,160
  4. Step 4: Simplify right side
    54,816x = 16,424,985,600
  5. Step 5: Solve for x
    x = 16,424,985,600/54,816
  6. Step 6: Final answer
    x = 299,638.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.