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Finding the Third Proportional to 271,278 and 609,272

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Solution

The third proportional to 271,278 and 609,272 is: 1,368,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,278 : 609,272 = 609,272 : x
  2. Step 2: Convert to fraction form
    271,278/609,272 = 609,272/x
  3. Step 3: Cross multiply
    271,278x = 609,272 × 609,272
  4. Step 4: Simplify right side
    271,278x = 371,212,369,984
  5. Step 5: Solve for x
    x = 371,212,369,984/271,278
  6. Step 6: Final answer
    x = 1,368,383.61

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.