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Finding the Third Proportional to 225,222 and 489,383

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Solution

The third proportional to 225,222 and 489,383 is: 1,063,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,222 : 489,383 = 489,383 : x
  2. Step 2: Convert to fraction form
    225,222/489,383 = 489,383/x
  3. Step 3: Cross multiply
    225,222x = 489,383 × 489,383
  4. Step 4: Simplify right side
    225,222x = 239,495,720,689
  5. Step 5: Solve for x
    x = 239,495,720,689/225,222
  6. Step 6: Final answer
    x = 1,063,376.23

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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.