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Finding the Third Proportional to 129,620.25 and 194,430.38

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Solution

The third proportional to 129,620.25 and 194,430.38 is: 291,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,620.25 : 194,430.38 = 194,430.38 : x
  2. Step 2: Convert to fraction form
    129,620.25/194,430.38 = 194,430.38/x
  3. Step 3: Cross multiply
    129,620.25x = 194,430.38 × 194,430.38
  4. Step 4: Simplify right side
    129,620.25x = 37,803,170,722.64
  5. Step 5: Solve for x
    x = 37,803,170,722.64/129,620.25
  6. Step 6: Final answer
    x = 291,645.56

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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.