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Finding the Third Proportional to 54,172 and 86,505

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Solution

The third proportional to 54,172 and 86,505 is: 138,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,172 : 86,505 = 86,505 : x
  2. Step 2: Convert to fraction form
    54,172/86,505 = 86,505/x
  3. Step 3: Cross multiply
    54,172x = 86,505 × 86,505
  4. Step 4: Simplify right side
    54,172x = 7,483,115,025
  5. Step 5: Solve for x
    x = 7,483,115,025/54,172
  6. Step 6: Final answer
    x = 138,136.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.