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Finding the Third Proportional to 54,338 and 83,619

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Solution

The third proportional to 54,338 and 83,619 is: 128,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,338 : 83,619 = 83,619 : x
  2. Step 2: Convert to fraction form
    54,338/83,619 = 83,619/x
  3. Step 3: Cross multiply
    54,338x = 83,619 × 83,619
  4. Step 4: Simplify right side
    54,338x = 6,992,137,161
  5. Step 5: Solve for x
    x = 6,992,137,161/54,338
  6. Step 6: Final answer
    x = 128,678.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.