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Finding the Third Proportional to 54,678 and 80,254.50

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Solution

The third proportional to 54,678 and 80,254.50 is: 117,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,678 : 80,254.50 = 80,254.50 : x
  2. Step 2: Convert to fraction form
    54,678/80,254.50 = 80,254.50/x
  3. Step 3: Cross multiply
    54,678x = 80,254.50 × 80,254.50
  4. Step 4: Simplify right side
    54,678x = 6,440,784,770.25
  5. Step 5: Solve for x
    x = 6,440,784,770.25/54,678
  6. Step 6: Final answer
    x = 117,794.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.