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Finding the Third Proportional to 120,076 and 277,956

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Solution

The third proportional to 120,076 and 277,956 is: 643,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,076 : 277,956 = 277,956 : x
  2. Step 2: Convert to fraction form
    120,076/277,956 = 277,956/x
  3. Step 3: Cross multiply
    120,076x = 277,956 × 277,956
  4. Step 4: Simplify right side
    120,076x = 77,259,537,936
  5. Step 5: Solve for x
    x = 77,259,537,936/120,076
  6. Step 6: Final answer
    x = 643,421.98

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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.