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Finding the Third Proportional to 307,260 and 639,044

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Solution

The third proportional to 307,260 and 639,044 is: 1,329,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,260 : 639,044 = 639,044 : x
  2. Step 2: Convert to fraction form
    307,260/639,044 = 639,044/x
  3. Step 3: Cross multiply
    307,260x = 639,044 × 639,044
  4. Step 4: Simplify right side
    307,260x = 408,377,233,936
  5. Step 5: Solve for x
    x = 408,377,233,936/307,260
  6. Step 6: Final answer
    x = 1,329,093.39

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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.