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Finding the Third Proportional to 54,676 and 118,420

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Solution

The third proportional to 54,676 and 118,420 is: 256,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,676 : 118,420 = 118,420 : x
  2. Step 2: Convert to fraction form
    54,676/118,420 = 118,420/x
  3. Step 3: Cross multiply
    54,676x = 118,420 × 118,420
  4. Step 4: Simplify right side
    54,676x = 14,023,296,400
  5. Step 5: Solve for x
    x = 14,023,296,400/54,676
  6. Step 6: Final answer
    x = 256,479.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.