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Finding the Third Proportional to 128,778.19 and 196,995.38

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Solution

The third proportional to 128,778.19 and 196,995.38 is: 301,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,778.19 : 196,995.38 = 196,995.38 : x
  2. Step 2: Convert to fraction form
    128,778.19/196,995.38 = 196,995.38/x
  3. Step 3: Cross multiply
    128,778.19x = 196,995.38 × 196,995.38
  4. Step 4: Simplify right side
    128,778.19x = 38,807,177,771.39
  5. Step 5: Solve for x
    x = 38,807,177,771.39/128,778.19
  6. Step 6: Final answer
    x = 301,349.00

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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.