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Finding the Third Proportional to 131,886 and 290,664

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Solution

The third proportional to 131,886 and 290,664 is: 640,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,886 : 290,664 = 290,664 : x
  2. Step 2: Convert to fraction form
    131,886/290,664 = 290,664/x
  3. Step 3: Cross multiply
    131,886x = 290,664 × 290,664
  4. Step 4: Simplify right side
    131,886x = 84,485,560,896
  5. Step 5: Solve for x
    x = 84,485,560,896/131,886
  6. Step 6: Final answer
    x = 640,595.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.