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Finding the Third Proportional to 54,112 and 83,220

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Solution

The third proportional to 54,112 and 83,220 is: 127,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,112 : 83,220 = 83,220 : x
  2. Step 2: Convert to fraction form
    54,112/83,220 = 83,220/x
  3. Step 3: Cross multiply
    54,112x = 83,220 × 83,220
  4. Step 4: Simplify right side
    54,112x = 6,925,568,400
  5. Step 5: Solve for x
    x = 6,925,568,400/54,112
  6. Step 6: Final answer
    x = 127,985.81

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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.