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Finding the Third Proportional to 80,212 and 174,580

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Solution

The third proportional to 80,212 and 174,580 is: 379,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,212 : 174,580 = 174,580 : x
  2. Step 2: Convert to fraction form
    80,212/174,580 = 174,580/x
  3. Step 3: Cross multiply
    80,212x = 174,580 × 174,580
  4. Step 4: Simplify right side
    80,212x = 30,478,176,400
  5. Step 5: Solve for x
    x = 30,478,176,400/80,212
  6. Step 6: Final answer
    x = 379,970.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.