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Finding the Third Proportional to 54,351.75 and 85,905

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Solution

The third proportional to 54,351.75 and 85,905 is: 135,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,351.75 : 85,905 = 85,905 : x
  2. Step 2: Convert to fraction form
    54,351.75/85,905 = 85,905/x
  3. Step 3: Cross multiply
    54,351.75x = 85,905 × 85,905
  4. Step 4: Simplify right side
    54,351.75x = 7,379,669,025
  5. Step 5: Solve for x
    x = 7,379,669,025/54,351.75
  6. Step 6: Final answer
    x = 135,776.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.