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Finding the Third Proportional to 271,710 and 399,251

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Solution

The third proportional to 271,710 and 399,251 is: 586,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,710 : 399,251 = 399,251 : x
  2. Step 2: Convert to fraction form
    271,710/399,251 = 399,251/x
  3. Step 3: Cross multiply
    271,710x = 399,251 × 399,251
  4. Step 4: Simplify right side
    271,710x = 159,401,361,001
  5. Step 5: Solve for x
    x = 159,401,361,001/271,710
  6. Step 6: Final answer
    x = 586,659.90

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