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Finding the Third Proportional to 271,972 and 382,321

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Solution

The third proportional to 271,972 and 382,321 is: 537,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,972 : 382,321 = 382,321 : x
  2. Step 2: Convert to fraction form
    271,972/382,321 = 382,321/x
  3. Step 3: Cross multiply
    271,972x = 382,321 × 382,321
  4. Step 4: Simplify right side
    271,972x = 146,169,347,041
  5. Step 5: Solve for x
    x = 146,169,347,041/271,972
  6. Step 6: Final answer
    x = 537,442.63

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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.