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Finding the Third Proportional to 271,416 and 399,015

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Solution

The third proportional to 271,416 and 399,015 is: 586,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,416 : 399,015 = 399,015 : x
  2. Step 2: Convert to fraction form
    271,416/399,015 = 399,015/x
  3. Step 3: Cross multiply
    271,416x = 399,015 × 399,015
  4. Step 4: Simplify right side
    271,416x = 159,212,970,225
  5. Step 5: Solve for x
    x = 159,212,970,225/271,416
  6. Step 6: Final answer
    x = 586,601.27

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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.