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Finding the Third Proportional to 307,257 and 639,039

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Solution

The third proportional to 307,257 and 639,039 is: 1,329,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,257 : 639,039 = 639,039 : x
  2. Step 2: Convert to fraction form
    307,257/639,039 = 639,039/x
  3. Step 3: Cross multiply
    307,257x = 639,039 × 639,039
  4. Step 4: Simplify right side
    307,257x = 408,370,843,521
  5. Step 5: Solve for x
    x = 408,370,843,521/307,257
  6. Step 6: Final answer
    x = 1,329,085.57

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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.