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Finding the Third Proportional to 307,163 and 458,375

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Solution

The third proportional to 307,163 and 458,375 is: 684,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,163 : 458,375 = 458,375 : x
  2. Step 2: Convert to fraction form
    307,163/458,375 = 458,375/x
  3. Step 3: Cross multiply
    307,163x = 458,375 × 458,375
  4. Step 4: Simplify right side
    307,163x = 210,107,640,625
  5. Step 5: Solve for x
    x = 210,107,640,625/307,163
  6. Step 6: Final answer
    x = 684,026.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.