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Finding the Third Proportional to 426,236 and 636,436

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Solution

The third proportional to 426,236 and 636,436 is: 950,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,236 : 636,436 = 636,436 : x
  2. Step 2: Convert to fraction form
    426,236/636,436 = 636,436/x
  3. Step 3: Cross multiply
    426,236x = 636,436 × 636,436
  4. Step 4: Simplify right side
    426,236x = 405,050,782,096
  5. Step 5: Solve for x
    x = 405,050,782,096/426,236
  6. Step 6: Final answer
    x = 950,296.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.