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Finding the Third Proportional to 281,021 and 421,542

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Solution

The third proportional to 281,021 and 421,542 is: 632,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,021 : 421,542 = 421,542 : x
  2. Step 2: Convert to fraction form
    281,021/421,542 = 421,542/x
  3. Step 3: Cross multiply
    281,021x = 421,542 × 421,542
  4. Step 4: Simplify right side
    281,021x = 177,697,657,764
  5. Step 5: Solve for x
    x = 177,697,657,764/281,021
  6. Step 6: Final answer
    x = 632,328.75

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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.