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Finding the Third Proportional to 80,420 and 118,290

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Solution

The third proportional to 80,420 and 118,290 is: 173,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,420 : 118,290 = 118,290 : x
  2. Step 2: Convert to fraction form
    80,420/118,290 = 118,290/x
  3. Step 3: Cross multiply
    80,420x = 118,290 × 118,290
  4. Step 4: Simplify right side
    80,420x = 13,992,524,100
  5. Step 5: Solve for x
    x = 13,992,524,100/80,420
  6. Step 6: Final answer
    x = 173,993.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.