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Finding the Third Proportional to 271,970 and 382,318

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Solution

The third proportional to 271,970 and 382,318 is: 537,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,970 : 382,318 = 382,318 : x
  2. Step 2: Convert to fraction form
    271,970/382,318 = 382,318/x
  3. Step 3: Cross multiply
    271,970x = 382,318 × 382,318
  4. Step 4: Simplify right side
    271,970x = 146,167,053,124
  5. Step 5: Solve for x
    x = 146,167,053,124/271,970
  6. Step 6: Final answer
    x = 537,438.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.