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Finding the Third Proportional to 131,871 and 290,634

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Solution

The third proportional to 131,871 and 290,634 is: 640,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,871 : 290,634 = 290,634 : x
  2. Step 2: Convert to fraction form
    131,871/290,634 = 290,634/x
  3. Step 3: Cross multiply
    131,871x = 290,634 × 290,634
  4. Step 4: Simplify right side
    131,871x = 84,468,121,956
  5. Step 5: Solve for x
    x = 84,468,121,956/131,871
  6. Step 6: Final answer
    x = 640,535.99

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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.