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Finding the Third Proportional to 434,519 and 636,225

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Solution

The third proportional to 434,519 and 636,225 is: 931,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,519 : 636,225 = 636,225 : x
  2. Step 2: Convert to fraction form
    434,519/636,225 = 636,225/x
  3. Step 3: Cross multiply
    434,519x = 636,225 × 636,225
  4. Step 4: Simplify right side
    434,519x = 404,782,250,625
  5. Step 5: Solve for x
    x = 404,782,250,625/434,519
  6. Step 6: Final answer
    x = 931,563.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.