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Finding the Third Proportional to 307,600 and 658,939

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Solution

The third proportional to 307,600 and 658,939 is: 1,411,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,600 : 658,939 = 658,939 : x
  2. Step 2: Convert to fraction form
    307,600/658,939 = 658,939/x
  3. Step 3: Cross multiply
    307,600x = 658,939 × 658,939
  4. Step 4: Simplify right side
    307,600x = 434,200,605,721
  5. Step 5: Solve for x
    x = 434,200,605,721/307,600
  6. Step 6: Final answer
    x = 1,411,575.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.