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Finding the Third Proportional to 271,310 and 579,991

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Solution

The third proportional to 271,310 and 579,991 is: 1,239,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,310 : 579,991 = 579,991 : x
  2. Step 2: Convert to fraction form
    271,310/579,991 = 579,991/x
  3. Step 3: Cross multiply
    271,310x = 579,991 × 579,991
  4. Step 4: Simplify right side
    271,310x = 336,389,560,081
  5. Step 5: Solve for x
    x = 336,389,560,081/271,310
  6. Step 6: Final answer
    x = 1,239,871.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.