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Finding the Third Proportional to 271,640 and 413,312

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Solution

The third proportional to 271,640 and 413,312 is: 628,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,640 : 413,312 = 413,312 : x
  2. Step 2: Convert to fraction form
    271,640/413,312 = 413,312/x
  3. Step 3: Cross multiply
    271,640x = 413,312 × 413,312
  4. Step 4: Simplify right side
    271,640x = 170,826,809,344
  5. Step 5: Solve for x
    x = 170,826,809,344/271,640
  6. Step 6: Final answer
    x = 628,872.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.