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Finding the Third Proportional to 271,964 and 382,309

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Solution

The third proportional to 271,964 and 382,309 is: 537,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,964 : 382,309 = 382,309 : x
  2. Step 2: Convert to fraction form
    271,964/382,309 = 382,309/x
  3. Step 3: Cross multiply
    271,964x = 382,309 × 382,309
  4. Step 4: Simplify right side
    271,964x = 146,160,171,481
  5. Step 5: Solve for x
    x = 146,160,171,481/271,964
  6. Step 6: Final answer
    x = 537,424.70

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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.