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Finding the Third Proportional to 421,536 and 642,809

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Solution

The third proportional to 421,536 and 642,809 is: 980,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,536 : 642,809 = 642,809 : x
  2. Step 2: Convert to fraction form
    421,536/642,809 = 642,809/x
  3. Step 3: Cross multiply
    421,536x = 642,809 × 642,809
  4. Step 4: Simplify right side
    421,536x = 413,203,410,481
  5. Step 5: Solve for x
    x = 413,203,410,481/421,536
  6. Step 6: Final answer
    x = 980,232.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.