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Finding the Third Proportional to 432,109 and 622,469

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Solution

The third proportional to 432,109 and 622,469 is: 896,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,109 : 622,469 = 622,469 : x
  2. Step 2: Convert to fraction form
    432,109/622,469 = 622,469/x
  3. Step 3: Cross multiply
    432,109x = 622,469 × 622,469
  4. Step 4: Simplify right side
    432,109x = 387,467,655,961
  5. Step 5: Solve for x
    x = 387,467,655,961/432,109
  6. Step 6: Final answer
    x = 896,689.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.