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Finding the Third Proportional to 307,214 and 635,742

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Solution

The third proportional to 307,214 and 635,742 is: 1,315,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,214 : 635,742 = 635,742 : x
  2. Step 2: Convert to fraction form
    307,214/635,742 = 635,742/x
  3. Step 3: Cross multiply
    307,214x = 635,742 × 635,742
  4. Step 4: Simplify right side
    307,214x = 404,167,890,564
  5. Step 5: Solve for x
    x = 404,167,890,564/307,214
  6. Step 6: Final answer
    x = 1,315,590.73

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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.