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Finding the Third Proportional to 131,847 and 209,628

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Solution

The third proportional to 131,847 and 209,628 is: 333,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,847 : 209,628 = 209,628 : x
  2. Step 2: Convert to fraction form
    131,847/209,628 = 209,628/x
  3. Step 3: Cross multiply
    131,847x = 209,628 × 209,628
  4. Step 4: Simplify right side
    131,847x = 43,943,898,384
  5. Step 5: Solve for x
    x = 43,943,898,384/131,847
  6. Step 6: Final answer
    x = 333,294.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.