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Finding the Third Proportional to 271,280 and 609,276

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Solution

The third proportional to 271,280 and 609,276 is: 1,368,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,280 : 609,276 = 609,276 : x
  2. Step 2: Convert to fraction form
    271,280/609,276 = 609,276/x
  3. Step 3: Cross multiply
    271,280x = 609,276 × 609,276
  4. Step 4: Simplify right side
    271,280x = 371,217,244,176
  5. Step 5: Solve for x
    x = 371,217,244,176/271,280
  6. Step 6: Final answer
    x = 1,368,391.49

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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.