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Finding the Third Proportional to 225,225 and 489,653

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Solution

The third proportional to 225,225 and 489,653 is: 1,064,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,225 : 489,653 = 489,653 : x
  2. Step 2: Convert to fraction form
    225,225/489,653 = 489,653/x
  3. Step 3: Cross multiply
    225,225x = 489,653 × 489,653
  4. Step 4: Simplify right side
    225,225x = 239,760,060,409
  5. Step 5: Solve for x
    x = 239,760,060,409/225,225
  6. Step 6: Final answer
    x = 1,064,535.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.