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Finding the Third Proportional to 131,890 and 290,672

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Solution

The third proportional to 131,890 and 290,672 is: 640,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,890 : 290,672 = 290,672 : x
  2. Step 2: Convert to fraction form
    131,890/290,672 = 290,672/x
  3. Step 3: Cross multiply
    131,890x = 290,672 × 290,672
  4. Step 4: Simplify right side
    131,890x = 84,490,211,584
  5. Step 5: Solve for x
    x = 84,490,211,584/131,890
  6. Step 6: Final answer
    x = 640,611.20

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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.