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Finding the Third Proportional to 57,504 and 121,920

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Solution

The third proportional to 57,504 and 121,920 is: 258,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,504 : 121,920 = 121,920 : x
  2. Step 2: Convert to fraction form
    57,504/121,920 = 121,920/x
  3. Step 3: Cross multiply
    57,504x = 121,920 × 121,920
  4. Step 4: Simplify right side
    57,504x = 14,864,486,400
  5. Step 5: Solve for x
    x = 14,864,486,400/57,504
  6. Step 6: Final answer
    x = 258,494.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.