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Finding the Third Proportional to 299,414 and 638,024

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Solution

The third proportional to 299,414 and 638,024 is: 1,359,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,414 : 638,024 = 638,024 : x
  2. Step 2: Convert to fraction form
    299,414/638,024 = 638,024/x
  3. Step 3: Cross multiply
    299,414x = 638,024 × 638,024
  4. Step 4: Simplify right side
    299,414x = 407,074,624,576
  5. Step 5: Solve for x
    x = 407,074,624,576/299,414
  6. Step 6: Final answer
    x = 1,359,571.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.