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Finding the Third Proportional to 225,990 and 487,215

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Solution

The third proportional to 225,990 and 487,215 is: 1,050,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,990 : 487,215 = 487,215 : x
  2. Step 2: Convert to fraction form
    225,990/487,215 = 487,215/x
  3. Step 3: Cross multiply
    225,990x = 487,215 × 487,215
  4. Step 4: Simplify right side
    225,990x = 237,378,456,225
  5. Step 5: Solve for x
    x = 237,378,456,225/225,990
  6. Step 6: Final answer
    x = 1,050,393.63

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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.