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Finding the Third Proportional to 80,580 and 177,243

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Solution

The third proportional to 80,580 and 177,243 is: 389,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,580 : 177,243 = 177,243 : x
  2. Step 2: Convert to fraction form
    80,580/177,243 = 177,243/x
  3. Step 3: Cross multiply
    80,580x = 177,243 × 177,243
  4. Step 4: Simplify right side
    80,580x = 31,415,081,049
  5. Step 5: Solve for x
    x = 31,415,081,049/80,580
  6. Step 6: Final answer
    x = 389,862.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.