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Finding the Third Proportional to 54,785 and 113,781.50

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Solution

The third proportional to 54,785 and 113,781.50 is: 236,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,785 : 113,781.50 = 113,781.50 : x
  2. Step 2: Convert to fraction form
    54,785/113,781.50 = 113,781.50/x
  3. Step 3: Cross multiply
    54,785x = 113,781.50 × 113,781.50
  4. Step 4: Simplify right side
    54,785x = 12,946,229,742.25
  5. Step 5: Solve for x
    x = 12,946,229,742.25/54,785
  6. Step 6: Final answer
    x = 236,309.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.