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Finding the Third Proportional to 271,914.75 and 420,171.75

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Solution

The third proportional to 271,914.75 and 420,171.75 is: 649,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,914.75 : 420,171.75 = 420,171.75 : x
  2. Step 2: Convert to fraction form
    271,914.75/420,171.75 = 420,171.75/x
  3. Step 3: Cross multiply
    271,914.75x = 420,171.75 × 420,171.75
  4. Step 4: Simplify right side
    271,914.75x = 176,544,299,498.06
  5. Step 5: Solve for x
    x = 176,544,299,498.06/271,914.75
  6. Step 6: Final answer
    x = 649,263.42

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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.