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Finding the Third Proportional to 225,028 and 489,512

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Solution

The third proportional to 225,028 and 489,512 is: 1,064,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,028 : 489,512 = 489,512 : x
  2. Step 2: Convert to fraction form
    225,028/489,512 = 489,512/x
  3. Step 3: Cross multiply
    225,028x = 489,512 × 489,512
  4. Step 4: Simplify right side
    225,028x = 239,621,998,144
  5. Step 5: Solve for x
    x = 239,621,998,144/225,028
  6. Step 6: Final answer
    x = 1,064,854.14

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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.