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Finding the Third Proportional to 307,258 and 635,828

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Solution

The third proportional to 307,258 and 635,828 is: 1,315,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,258 : 635,828 = 635,828 : x
  2. Step 2: Convert to fraction form
    307,258/635,828 = 635,828/x
  3. Step 3: Cross multiply
    307,258x = 635,828 × 635,828
  4. Step 4: Simplify right side
    307,258x = 404,277,245,584
  5. Step 5: Solve for x
    x = 404,277,245,584/307,258
  6. Step 6: Final answer
    x = 1,315,758.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.