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Finding the Third Proportional to 54,485 and 84,716

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Solution

The third proportional to 54,485 and 84,716 is: 131,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,485 : 84,716 = 84,716 : x
  2. Step 2: Convert to fraction form
    54,485/84,716 = 84,716/x
  3. Step 3: Cross multiply
    54,485x = 84,716 × 84,716
  4. Step 4: Simplify right side
    54,485x = 7,176,800,656
  5. Step 5: Solve for x
    x = 7,176,800,656/54,485
  6. Step 6: Final answer
    x = 131,720.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.