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Finding the Third Proportional to 271,776 and 576,440

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Solution

The third proportional to 271,776 and 576,440 is: 1,222,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,776 : 576,440 = 576,440 : x
  2. Step 2: Convert to fraction form
    271,776/576,440 = 576,440/x
  3. Step 3: Cross multiply
    271,776x = 576,440 × 576,440
  4. Step 4: Simplify right side
    271,776x = 332,283,073,600
  5. Step 5: Solve for x
    x = 332,283,073,600/271,776
  6. Step 6: Final answer
    x = 1,222,635.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.