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Finding the Third Proportional to 54,645 and 120,129

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Solution

The third proportional to 54,645 and 120,129 is: 264,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,645 : 120,129 = 120,129 : x
  2. Step 2: Convert to fraction form
    54,645/120,129 = 120,129/x
  3. Step 3: Cross multiply
    54,645x = 120,129 × 120,129
  4. Step 4: Simplify right side
    54,645x = 14,430,976,641
  5. Step 5: Solve for x
    x = 14,430,976,641/54,645
  6. Step 6: Final answer
    x = 264,085.95

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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.