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Finding the Third Proportional to 271,767.75 and 399,658.50

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Solution

The third proportional to 271,767.75 and 399,658.50 is: 587,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,767.75 : 399,658.50 = 399,658.50 : x
  2. Step 2: Convert to fraction form
    271,767.75/399,658.50 = 399,658.50/x
  3. Step 3: Cross multiply
    271,767.75x = 399,658.50 × 399,658.50
  4. Step 4: Simplify right side
    271,767.75x = 159,726,916,622.25
  5. Step 5: Solve for x
    x = 159,726,916,622.25/271,767.75
  6. Step 6: Final answer
    x = 587,733.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.