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Finding the Third Proportional to 275,510 and 421,421

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Solution

The third proportional to 275,510 and 421,421 is: 644,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,510 : 421,421 = 421,421 : x
  2. Step 2: Convert to fraction form
    275,510/421,421 = 421,421/x
  3. Step 3: Cross multiply
    275,510x = 421,421 × 421,421
  4. Step 4: Simplify right side
    275,510x = 177,595,659,241
  5. Step 5: Solve for x
    x = 177,595,659,241/275,510
  6. Step 6: Final answer
    x = 644,606.94

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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.