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Finding the Third Proportional to 307,244 and 626,686

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Solution

The third proportional to 307,244 and 626,686 is: 1,278,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,244 : 626,686 = 626,686 : x
  2. Step 2: Convert to fraction form
    307,244/626,686 = 626,686/x
  3. Step 3: Cross multiply
    307,244x = 626,686 × 626,686
  4. Step 4: Simplify right side
    307,244x = 392,735,342,596
  5. Step 5: Solve for x
    x = 392,735,342,596/307,244
  6. Step 6: Final answer
    x = 1,278,252.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.