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Finding the Third Proportional to 57,220 and 121,880

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Solution

The third proportional to 57,220 and 121,880 is: 259,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,220 : 121,880 = 121,880 : x
  2. Step 2: Convert to fraction form
    57,220/121,880 = 121,880/x
  3. Step 3: Cross multiply
    57,220x = 121,880 × 121,880
  4. Step 4: Simplify right side
    57,220x = 14,854,734,400
  5. Step 5: Solve for x
    x = 14,854,734,400/57,220
  6. Step 6: Final answer
    x = 259,607.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.