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Finding the Third Proportional to 271,468.27 and 409,984.31

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Solution

The third proportional to 271,468.27 and 409,984.31 is: 619,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,468.27 : 409,984.31 = 409,984.31 : x
  2. Step 2: Convert to fraction form
    271,468.27/409,984.31 = 409,984.31/x
  3. Step 3: Cross multiply
    271,468.27x = 409,984.31 × 409,984.31
  4. Step 4: Simplify right side
    271,468.27x = 168,087,136,496.10
  5. Step 5: Solve for x
    x = 168,087,136,496.10/271,468.27
  6. Step 6: Final answer
    x = 619,177.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.