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Finding the Third Proportional to 431,647 and 639,097

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Solution

The third proportional to 431,647 and 639,097 is: 946,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,647 : 639,097 = 639,097 : x
  2. Step 2: Convert to fraction form
    431,647/639,097 = 639,097/x
  3. Step 3: Cross multiply
    431,647x = 639,097 × 639,097
  4. Step 4: Simplify right side
    431,647x = 408,444,975,409
  5. Step 5: Solve for x
    x = 408,444,975,409/431,647
  6. Step 6: Final answer
    x = 946,247.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.