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Finding the Third Proportional to 411,410 and 636,771

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Solution

The third proportional to 411,410 and 636,771 is: 985,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,410 : 636,771 = 636,771 : x
  2. Step 2: Convert to fraction form
    411,410/636,771 = 636,771/x
  3. Step 3: Cross multiply
    411,410x = 636,771 × 636,771
  4. Step 4: Simplify right side
    411,410x = 405,477,306,441
  5. Step 5: Solve for x
    x = 405,477,306,441/411,410
  6. Step 6: Final answer
    x = 985,579.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.