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Finding the Third Proportional to 120,978 and 277,677

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Solution

The third proportional to 120,978 and 277,677 is: 637,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,978 : 277,677 = 277,677 : x
  2. Step 2: Convert to fraction form
    120,978/277,677 = 277,677/x
  3. Step 3: Cross multiply
    120,978x = 277,677 × 277,677
  4. Step 4: Simplify right side
    120,978x = 77,104,516,329
  5. Step 5: Solve for x
    x = 77,104,516,329/120,978
  6. Step 6: Final answer
    x = 637,343.29

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.