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Finding the Third Proportional to 54,478 and 128,806

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Solution

The third proportional to 54,478 and 128,806 is: 304,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,478 : 128,806 = 128,806 : x
  2. Step 2: Convert to fraction form
    54,478/128,806 = 128,806/x
  3. Step 3: Cross multiply
    54,478x = 128,806 × 128,806
  4. Step 4: Simplify right side
    54,478x = 16,590,985,636
  5. Step 5: Solve for x
    x = 16,590,985,636/54,478
  6. Step 6: Final answer
    x = 304,544.69

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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.