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Finding the Third Proportional to 129,453.19 and 198,690.47

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Solution

The third proportional to 129,453.19 and 198,690.47 is: 304,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,453.19 : 198,690.47 = 198,690.47 : x
  2. Step 2: Convert to fraction form
    129,453.19/198,690.47 = 198,690.47/x
  3. Step 3: Cross multiply
    129,453.19x = 198,690.47 × 198,690.47
  4. Step 4: Simplify right side
    129,453.19x = 39,477,902,372.09
  5. Step 5: Solve for x
    x = 39,477,902,372.09/129,453.19
  6. Step 6: Final answer
    x = 304,958.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.