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Finding the Third Proportional to 274,154 and 634,621

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Solution

The third proportional to 274,154 and 634,621 is: 1,469,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,154 : 634,621 = 634,621 : x
  2. Step 2: Convert to fraction form
    274,154/634,621 = 634,621/x
  3. Step 3: Cross multiply
    274,154x = 634,621 × 634,621
  4. Step 4: Simplify right side
    274,154x = 402,743,813,641
  5. Step 5: Solve for x
    x = 402,743,813,641/274,154
  6. Step 6: Final answer
    x = 1,469,042.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.