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Finding the Third Proportional to 128,779.38 and 196,996.88

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Solution

The third proportional to 128,779.38 and 196,996.88 is: 301,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,779.38 : 196,996.88 = 196,996.88 : x
  2. Step 2: Convert to fraction form
    128,779.38/196,996.88 = 196,996.88/x
  3. Step 3: Cross multiply
    128,779.38x = 196,996.88 × 196,996.88
  4. Step 4: Simplify right side
    128,779.38x = 38,807,768,759.77
  5. Step 5: Solve for x
    x = 38,807,768,759.77/128,779.38
  6. Step 6: Final answer
    x = 301,350.81

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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.