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Finding the Third Proportional to 54,762 and 78,255

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Solution

The third proportional to 54,762 and 78,255 is: 111,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,762 : 78,255 = 78,255 : x
  2. Step 2: Convert to fraction form
    54,762/78,255 = 78,255/x
  3. Step 3: Cross multiply
    54,762x = 78,255 × 78,255
  4. Step 4: Simplify right side
    54,762x = 6,123,845,025
  5. Step 5: Solve for x
    x = 6,123,845,025/54,762
  6. Step 6: Final answer
    x = 111,826.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.