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Finding the Third Proportional to 120,078 and 277,961

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Solution

The third proportional to 120,078 and 277,961 is: 643,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078 : 277,961 = 277,961 : x
  2. Step 2: Convert to fraction form
    120,078/277,961 = 277,961/x
  3. Step 3: Cross multiply
    120,078x = 277,961 × 277,961
  4. Step 4: Simplify right side
    120,078x = 77,262,317,521
  5. Step 5: Solve for x
    x = 77,262,317,521/120,078
  6. Step 6: Final answer
    x = 643,434.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.