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Finding the Third Proportional to 225,180 and 485,271

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Solution

The third proportional to 225,180 and 485,271 is: 1,045,776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,180 : 485,271 = 485,271 : x
  2. Step 2: Convert to fraction form
    225,180/485,271 = 485,271/x
  3. Step 3: Cross multiply
    225,180x = 485,271 × 485,271
  4. Step 4: Simplify right side
    225,180x = 235,487,943,441
  5. Step 5: Solve for x
    x = 235,487,943,441/225,180
  6. Step 6: Final answer
    x = 1,045,776.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.