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Finding the Third Proportional to 54,138 and 85,044

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Solution

The third proportional to 54,138 and 85,044 is: 133,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,138 : 85,044 = 85,044 : x
  2. Step 2: Convert to fraction form
    54,138/85,044 = 85,044/x
  3. Step 3: Cross multiply
    54,138x = 85,044 × 85,044
  4. Step 4: Simplify right side
    54,138x = 7,232,481,936
  5. Step 5: Solve for x
    x = 7,232,481,936/54,138
  6. Step 6: Final answer
    x = 133,593.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.