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Finding the Third Proportional to 275,498 and 421,407

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Solution

The third proportional to 275,498 and 421,407 is: 644,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,498 : 421,407 = 421,407 : x
  2. Step 2: Convert to fraction form
    275,498/421,407 = 421,407/x
  3. Step 3: Cross multiply
    275,498x = 421,407 × 421,407
  4. Step 4: Simplify right side
    275,498x = 177,583,859,649
  5. Step 5: Solve for x
    x = 177,583,859,649/275,498
  6. Step 6: Final answer
    x = 644,592.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.