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Finding the Third Proportional to 423,517 and 636,221

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Solution

The third proportional to 423,517 and 636,221 is: 955,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,517 : 636,221 = 636,221 : x
  2. Step 2: Convert to fraction form
    423,517/636,221 = 636,221/x
  3. Step 3: Cross multiply
    423,517x = 636,221 × 636,221
  4. Step 4: Simplify right side
    423,517x = 404,777,160,841
  5. Step 5: Solve for x
    x = 404,777,160,841/423,517
  6. Step 6: Final answer
    x = 955,751.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.