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Finding the Third Proportional to 489,241 and 991,629

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Solution

The third proportional to 489,241 and 991,629 is: 2,009,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,241 : 991,629 = 991,629 : x
  2. Step 2: Convert to fraction form
    489,241/991,629 = 991,629/x
  3. Step 3: Cross multiply
    489,241x = 991,629 × 991,629
  4. Step 4: Simplify right side
    489,241x = 983,328,073,641
  5. Step 5: Solve for x
    x = 983,328,073,641/489,241
  6. Step 6: Final answer
    x = 2,009,905.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.