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Finding the Third Proportional to 121,078 and 239,064

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Solution

The third proportional to 121,078 and 239,064 is: 472,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,078 : 239,064 = 239,064 : x
  2. Step 2: Convert to fraction form
    121,078/239,064 = 239,064/x
  3. Step 3: Cross multiply
    121,078x = 239,064 × 239,064
  4. Step 4: Simplify right side
    121,078x = 57,151,596,096
  5. Step 5: Solve for x
    x = 57,151,596,096/121,078
  6. Step 6: Final answer
    x = 472,022.96

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.