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Finding the Third Proportional to 175,087 and 271,631

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Solution

The third proportional to 175,087 and 271,631 is: 421,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,087 : 271,631 = 271,631 : x
  2. Step 2: Convert to fraction form
    175,087/271,631 = 271,631/x
  3. Step 3: Cross multiply
    175,087x = 271,631 × 271,631
  4. Step 4: Simplify right side
    175,087x = 73,783,400,161
  5. Step 5: Solve for x
    x = 73,783,400,161/175,087
  6. Step 6: Final answer
    x = 421,409.93

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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.