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Finding the Third Proportional to 121,075 and 239,045

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Solution

The third proportional to 121,075 and 239,045 is: 471,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,075 : 239,045 = 239,045 : x
  2. Step 2: Convert to fraction form
    121,075/239,045 = 239,045/x
  3. Step 3: Cross multiply
    121,075x = 239,045 × 239,045
  4. Step 4: Simplify right side
    121,075x = 57,142,512,025
  5. Step 5: Solve for x
    x = 57,142,512,025/121,075
  6. Step 6: Final answer
    x = 471,959.63

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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.