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Finding the Third Proportional to 281,410 and 421,626

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Solution

The third proportional to 281,410 and 421,626 is: 631,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,410 : 421,626 = 421,626 : x
  2. Step 2: Convert to fraction form
    281,410/421,626 = 421,626/x
  3. Step 3: Cross multiply
    281,410x = 421,626 × 421,626
  4. Step 4: Simplify right side
    281,410x = 177,768,483,876
  5. Step 5: Solve for x
    x = 177,768,483,876/281,410
  6. Step 6: Final answer
    x = 631,706.35

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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.