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Finding the Third Proportional to 280,586 and 421,203

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Solution

The third proportional to 280,586 and 421,203 is: 632,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,586 : 421,203 = 421,203 : x
  2. Step 2: Convert to fraction form
    280,586/421,203 = 421,203/x
  3. Step 3: Cross multiply
    280,586x = 421,203 × 421,203
  4. Step 4: Simplify right side
    280,586x = 177,411,967,209
  5. Step 5: Solve for x
    x = 177,411,967,209/280,586
  6. Step 6: Final answer
    x = 632,290.87

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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.