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Finding the Third Proportional to 312,635 and 636,319

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Solution

The third proportional to 312,635 and 636,319 is: 1,295,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,635 : 636,319 = 636,319 : x
  2. Step 2: Convert to fraction form
    312,635/636,319 = 636,319/x
  3. Step 3: Cross multiply
    312,635x = 636,319 × 636,319
  4. Step 4: Simplify right side
    312,635x = 404,901,869,761
  5. Step 5: Solve for x
    x = 404,901,869,761/312,635
  6. Step 6: Final answer
    x = 1,295,126.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.