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Finding the Third Proportional to 54,868 and 128,206

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Solution

The third proportional to 54,868 and 128,206 is: 299,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,868 : 128,206 = 128,206 : x
  2. Step 2: Convert to fraction form
    54,868/128,206 = 128,206/x
  3. Step 3: Cross multiply
    54,868x = 128,206 × 128,206
  4. Step 4: Simplify right side
    54,868x = 16,436,778,436
  5. Step 5: Solve for x
    x = 16,436,778,436/54,868
  6. Step 6: Final answer
    x = 299,569.48

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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.