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Finding the Third Proportional to 131,864 and 290,620

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Solution

The third proportional to 131,864 and 290,620 is: 640,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,864 : 290,620 = 290,620 : x
  2. Step 2: Convert to fraction form
    131,864/290,620 = 290,620/x
  3. Step 3: Cross multiply
    131,864x = 290,620 × 290,620
  4. Step 4: Simplify right side
    131,864x = 84,459,984,400
  5. Step 5: Solve for x
    x = 84,459,984,400/131,864
  6. Step 6: Final answer
    x = 640,508.28

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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.