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Finding the Third Proportional to 54,823 and 80,290

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Solution

The third proportional to 54,823 and 80,290 is: 117,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,823 : 80,290 = 80,290 : x
  2. Step 2: Convert to fraction form
    54,823/80,290 = 80,290/x
  3. Step 3: Cross multiply
    54,823x = 80,290 × 80,290
  4. Step 4: Simplify right side
    54,823x = 6,446,484,100
  5. Step 5: Solve for x
    x = 6,446,484,100/54,823
  6. Step 6: Final answer
    x = 117,587.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.