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Finding the Third Proportional to 208,910 and 313,831

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Solution

The third proportional to 208,910 and 313,831 is: 471,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,910 : 313,831 = 313,831 : x
  2. Step 2: Convert to fraction form
    208,910/313,831 = 313,831/x
  3. Step 3: Cross multiply
    208,910x = 313,831 × 313,831
  4. Step 4: Simplify right side
    208,910x = 98,489,896,561
  5. Step 5: Solve for x
    x = 98,489,896,561/208,910
  6. Step 6: Final answer
    x = 471,446.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.