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Finding the Third Proportional to 225,012 and 489,480

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Solution

The third proportional to 225,012 and 489,480 is: 1,064,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,012 : 489,480 = 489,480 : x
  2. Step 2: Convert to fraction form
    225,012/489,480 = 489,480/x
  3. Step 3: Cross multiply
    225,012x = 489,480 × 489,480
  4. Step 4: Simplify right side
    225,012x = 239,590,670,400
  5. Step 5: Solve for x
    x = 239,590,670,400/225,012
  6. Step 6: Final answer
    x = 1,064,790.64

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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.