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Finding the Third Proportional to 54,507 and 120,018

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Solution

The third proportional to 54,507 and 120,018 is: 264,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,507 : 120,018 = 120,018 : x
  2. Step 2: Convert to fraction form
    54,507/120,018 = 120,018/x
  3. Step 3: Cross multiply
    54,507x = 120,018 × 120,018
  4. Step 4: Simplify right side
    54,507x = 14,404,320,324
  5. Step 5: Solve for x
    x = 14,404,320,324/54,507
  6. Step 6: Final answer
    x = 264,265.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.