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Finding the Third Proportional to 307,721 and 639,904

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Solution

The third proportional to 307,721 and 639,904 is: 1,330,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,721 : 639,904 = 639,904 : x
  2. Step 2: Convert to fraction form
    307,721/639,904 = 639,904/x
  3. Step 3: Cross multiply
    307,721x = 639,904 × 639,904
  4. Step 4: Simplify right side
    307,721x = 409,477,129,216
  5. Step 5: Solve for x
    x = 409,477,129,216/307,721
  6. Step 6: Final answer
    x = 1,330,676.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.