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Finding the Third Proportional to 132,956 and 290,860

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Solution

The third proportional to 132,956 and 290,860 is: 636,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,956 : 290,860 = 290,860 : x
  2. Step 2: Convert to fraction form
    132,956/290,860 = 290,860/x
  3. Step 3: Cross multiply
    132,956x = 290,860 × 290,860
  4. Step 4: Simplify right side
    132,956x = 84,599,539,600
  5. Step 5: Solve for x
    x = 84,599,539,600/132,956
  6. Step 6: Final answer
    x = 636,297.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.