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Finding the Third Proportional to 120,044 and 277,916

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Solution

The third proportional to 120,044 and 277,916 is: 643,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,044 : 277,916 = 277,916 : x
  2. Step 2: Convert to fraction form
    120,044/277,916 = 277,916/x
  3. Step 3: Cross multiply
    120,044x = 277,916 × 277,916
  4. Step 4: Simplify right side
    120,044x = 77,237,303,056
  5. Step 5: Solve for x
    x = 77,237,303,056/120,044
  6. Step 6: Final answer
    x = 643,408.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.