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Finding the Third Proportional to 269,304 and 409,553

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Solution

The third proportional to 269,304 and 409,553 is: 622,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,304 : 409,553 = 409,553 : x
  2. Step 2: Convert to fraction form
    269,304/409,553 = 409,553/x
  3. Step 3: Cross multiply
    269,304x = 409,553 × 409,553
  4. Step 4: Simplify right side
    269,304x = 167,733,659,809
  5. Step 5: Solve for x
    x = 167,733,659,809/269,304
  6. Step 6: Final answer
    x = 622,841.32

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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.