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Finding the Third Proportional to 434,954 and 635,647

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Solution

The third proportional to 434,954 and 635,647 is: 928,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,954 : 635,647 = 635,647 : x
  2. Step 2: Convert to fraction form
    434,954/635,647 = 635,647/x
  3. Step 3: Cross multiply
    434,954x = 635,647 × 635,647
  4. Step 4: Simplify right side
    434,954x = 404,047,108,609
  5. Step 5: Solve for x
    x = 404,047,108,609/434,954
  6. Step 6: Final answer
    x = 928,942.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.