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Finding the Third Proportional to 299,410 and 638,016

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Solution

The third proportional to 299,410 and 638,016 is: 1,359,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,410 : 638,016 = 638,016 : x
  2. Step 2: Convert to fraction form
    299,410/638,016 = 638,016/x
  3. Step 3: Cross multiply
    299,410x = 638,016 × 638,016
  4. Step 4: Simplify right side
    299,410x = 407,064,416,256
  5. Step 5: Solve for x
    x = 407,064,416,256/299,410
  6. Step 6: Final answer
    x = 1,359,555.18

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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.