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Finding the Third Proportional to 82,778.63 and 128,147.06

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Solution

The third proportional to 82,778.63 and 128,147.06 is: 198,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,778.63 : 128,147.06 = 128,147.06 : x
  2. Step 2: Convert to fraction form
    82,778.63/128,147.06 = 128,147.06/x
  3. Step 3: Cross multiply
    82,778.63x = 128,147.06 × 128,147.06
  4. Step 4: Simplify right side
    82,778.63x = 16,421,669,627.38
  5. Step 5: Solve for x
    x = 16,421,669,627.38/82,778.63
  6. Step 6: Final answer
    x = 198,380.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.