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Finding the Third Proportional to 54,138 and 83,321

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Solution

The third proportional to 54,138 and 83,321 is: 128,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,138 : 83,321 = 83,321 : x
  2. Step 2: Convert to fraction form
    54,138/83,321 = 83,321/x
  3. Step 3: Cross multiply
    54,138x = 83,321 × 83,321
  4. Step 4: Simplify right side
    54,138x = 6,942,389,041
  5. Step 5: Solve for x
    x = 6,942,389,041/54,138
  6. Step 6: Final answer
    x = 128,235.05

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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.