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Finding the Third Proportional to 225,245 and 489,685

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Solution

The third proportional to 225,245 and 489,685 is: 1,064,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,245 : 489,685 = 489,685 : x
  2. Step 2: Convert to fraction form
    225,245/489,685 = 489,685/x
  3. Step 3: Cross multiply
    225,245x = 489,685 × 489,685
  4. Step 4: Simplify right side
    225,245x = 239,791,399,225
  5. Step 5: Solve for x
    x = 239,791,399,225/225,245
  6. Step 6: Final answer
    x = 1,064,580.34

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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.