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Finding the Third Proportional to 271,278 and 589,257

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Solution

The third proportional to 271,278 and 589,257 is: 1,279,955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,278 : 589,257 = 589,257 : x
  2. Step 2: Convert to fraction form
    271,278/589,257 = 589,257/x
  3. Step 3: Cross multiply
    271,278x = 589,257 × 589,257
  4. Step 4: Simplify right side
    271,278x = 347,223,812,049
  5. Step 5: Solve for x
    x = 347,223,812,049/271,278
  6. Step 6: Final answer
    x = 1,279,955.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.