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Finding the Third Proportional to 259,728 and 636,174

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Solution

The third proportional to 259,728 and 636,174 is: 1,558,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,728 : 636,174 = 636,174 : x
  2. Step 2: Convert to fraction form
    259,728/636,174 = 636,174/x
  3. Step 3: Cross multiply
    259,728x = 636,174 × 636,174
  4. Step 4: Simplify right side
    259,728x = 404,717,358,276
  5. Step 5: Solve for x
    x = 404,717,358,276/259,728
  6. Step 6: Final answer
    x = 1,558,235.38

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.