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Finding the Third Proportional to 175,000 and 271,488

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Solution

The third proportional to 175,000 and 271,488 is: 421,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,000 : 271,488 = 271,488 : x
  2. Step 2: Convert to fraction form
    175,000/271,488 = 271,488/x
  3. Step 3: Cross multiply
    175,000x = 271,488 × 271,488
  4. Step 4: Simplify right side
    175,000x = 73,705,734,144
  5. Step 5: Solve for x
    x = 73,705,734,144/175,000
  6. Step 6: Final answer
    x = 421,175.62

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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.