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Finding the Third Proportional to 54,692 and 78,208

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Solution

The third proportional to 54,692 and 78,208 is: 111,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692 : 78,208 = 78,208 : x
  2. Step 2: Convert to fraction form
    54,692/78,208 = 78,208/x
  3. Step 3: Cross multiply
    54,692x = 78,208 × 78,208
  4. Step 4: Simplify right side
    54,692x = 6,116,491,264
  5. Step 5: Solve for x
    x = 6,116,491,264/54,692
  6. Step 6: Final answer
    x = 111,835.21

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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.