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Finding the Third Proportional to 312,637 and 636,322

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Solution

The third proportional to 312,637 and 636,322 is: 1,295,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,637 : 636,322 = 636,322 : x
  2. Step 2: Convert to fraction form
    312,637/636,322 = 636,322/x
  3. Step 3: Cross multiply
    312,637x = 636,322 × 636,322
  4. Step 4: Simplify right side
    312,637x = 404,905,687,684
  5. Step 5: Solve for x
    x = 404,905,687,684/312,637
  6. Step 6: Final answer
    x = 1,295,130.42

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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.