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Finding the Third Proportional to 307,721 and 694,458

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Solution

The third proportional to 307,721 and 694,458 is: 1,567,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,721 : 694,458 = 694,458 : x
  2. Step 2: Convert to fraction form
    307,721/694,458 = 694,458/x
  3. Step 3: Cross multiply
    307,721x = 694,458 × 694,458
  4. Step 4: Simplify right side
    307,721x = 482,271,913,764
  5. Step 5: Solve for x
    x = 482,271,913,764/307,721
  6. Step 6: Final answer
    x = 1,567,237.57

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.