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Finding the Third Proportional to 280,775 and 421,024

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Solution

The third proportional to 280,775 and 421,024 is: 631,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,775 : 421,024 = 421,024 : x
  2. Step 2: Convert to fraction form
    280,775/421,024 = 421,024/x
  3. Step 3: Cross multiply
    280,775x = 421,024 × 421,024
  4. Step 4: Simplify right side
    280,775x = 177,261,208,576
  5. Step 5: Solve for x
    x = 177,261,208,576/280,775
  6. Step 6: Final answer
    x = 631,328.32

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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.