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Finding the Third Proportional to 54,477 and 128,805

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Solution

The third proportional to 54,477 and 128,805 is: 304,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,477 : 128,805 = 128,805 : x
  2. Step 2: Convert to fraction form
    54,477/128,805 = 128,805/x
  3. Step 3: Cross multiply
    54,477x = 128,805 × 128,805
  4. Step 4: Simplify right side
    54,477x = 16,590,728,025
  5. Step 5: Solve for x
    x = 16,590,728,025/54,477
  6. Step 6: Final answer
    x = 304,545.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.