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Finding the Third Proportional to 296,256 and 637,469

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Solution

The third proportional to 296,256 and 637,469 is: 1,371,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,256 : 637,469 = 637,469 : x
  2. Step 2: Convert to fraction form
    296,256/637,469 = 637,469/x
  3. Step 3: Cross multiply
    296,256x = 637,469 × 637,469
  4. Step 4: Simplify right side
    296,256x = 406,366,725,961
  5. Step 5: Solve for x
    x = 406,366,725,961/296,256
  6. Step 6: Final answer
    x = 1,371,674.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.