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Finding the Third Proportional to 277,175 and 386,175

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Solution

The third proportional to 277,175 and 386,175 is: 538,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,175 : 386,175 = 386,175 : x
  2. Step 2: Convert to fraction form
    277,175/386,175 = 386,175/x
  3. Step 3: Cross multiply
    277,175x = 386,175 × 386,175
  4. Step 4: Simplify right side
    277,175x = 149,131,130,625
  5. Step 5: Solve for x
    x = 149,131,130,625/277,175
  6. Step 6: Final answer
    x = 538,039.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.