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Finding the Third Proportional to 130,118 and 194,638

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Solution

The third proportional to 130,118 and 194,638 is: 291,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,118 : 194,638 = 194,638 : x
  2. Step 2: Convert to fraction form
    130,118/194,638 = 194,638/x
  3. Step 3: Cross multiply
    130,118x = 194,638 × 194,638
  4. Step 4: Simplify right side
    130,118x = 37,883,951,044
  5. Step 5: Solve for x
    x = 37,883,951,044/130,118
  6. Step 6: Final answer
    x = 291,150.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.