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Finding the Third Proportional to 82,768.50 and 128,134.41

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Solution

The third proportional to 82,768.50 and 128,134.41 is: 198,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,768.50 : 128,134.41 = 128,134.41 : x
  2. Step 2: Convert to fraction form
    82,768.50/128,134.41 = 128,134.41/x
  3. Step 3: Cross multiply
    82,768.50x = 128,134.41 × 128,134.41
  4. Step 4: Simplify right side
    82,768.50x = 16,418,426,065.04
  5. Step 5: Solve for x
    x = 16,418,426,065.04/82,768.50
  6. Step 6: Final answer
    x = 198,365.64

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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.