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Finding the Third Proportional to 489,222 and 675,999

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Solution

The third proportional to 489,222 and 675,999 is: 934,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,222 : 675,999 = 675,999 : x
  2. Step 2: Convert to fraction form
    489,222/675,999 = 675,999/x
  3. Step 3: Cross multiply
    489,222x = 675,999 × 675,999
  4. Step 4: Simplify right side
    489,222x = 456,974,648,001
  5. Step 5: Solve for x
    x = 456,974,648,001/489,222
  6. Step 6: Final answer
    x = 934,084.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.