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Finding the Third Proportional to 54,628 and 83,400

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Solution

The third proportional to 54,628 and 83,400 is: 127,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,628 : 83,400 = 83,400 : x
  2. Step 2: Convert to fraction form
    54,628/83,400 = 83,400/x
  3. Step 3: Cross multiply
    54,628x = 83,400 × 83,400
  4. Step 4: Simplify right side
    54,628x = 6,955,560,000
  5. Step 5: Solve for x
    x = 6,955,560,000/54,628
  6. Step 6: Final answer
    x = 127,325.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.