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Finding the Third Proportional to 309,344 and 675,504

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Solution

The third proportional to 309,344 and 675,504 is: 1,475,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,344 : 675,504 = 675,504 : x
  2. Step 2: Convert to fraction form
    309,344/675,504 = 675,504/x
  3. Step 3: Cross multiply
    309,344x = 675,504 × 675,504
  4. Step 4: Simplify right side
    309,344x = 456,305,654,016
  5. Step 5: Solve for x
    x = 456,305,654,016/309,344
  6. Step 6: Final answer
    x = 1,475,075.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.