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Finding the Third Proportional to 277,078 and 429,874

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Solution

The third proportional to 277,078 and 429,874 is: 666,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,078 : 429,874 = 429,874 : x
  2. Step 2: Convert to fraction form
    277,078/429,874 = 429,874/x
  3. Step 3: Cross multiply
    277,078x = 429,874 × 429,874
  4. Step 4: Simplify right side
    277,078x = 184,791,655,876
  5. Step 5: Solve for x
    x = 184,791,655,876/277,078
  6. Step 6: Final answer
    x = 666,930.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.