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Finding the Third Proportional to 54,720 and 120,240

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Solution

The third proportional to 54,720 and 120,240 is: 264,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,720 : 120,240 = 120,240 : x
  2. Step 2: Convert to fraction form
    54,720/120,240 = 120,240/x
  3. Step 3: Cross multiply
    54,720x = 120,240 × 120,240
  4. Step 4: Simplify right side
    54,720x = 14,457,657,600
  5. Step 5: Solve for x
    x = 14,457,657,600/54,720
  6. Step 6: Final answer
    x = 264,211.58

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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.