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Finding the Third Proportional to 421,911 and 632,912

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Solution

The third proportional to 421,911 and 632,912 is: 949,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,911 : 632,912 = 632,912 : x
  2. Step 2: Convert to fraction form
    421,911/632,912 = 632,912/x
  3. Step 3: Cross multiply
    421,911x = 632,912 × 632,912
  4. Step 4: Simplify right side
    421,911x = 400,577,599,744
  5. Step 5: Solve for x
    x = 400,577,599,744/421,911
  6. Step 6: Final answer
    x = 949,436.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.