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Finding the Third Proportional to 302,800 and 636,965

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Solution

The third proportional to 302,800 and 636,965 is: 1,339,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,800 : 636,965 = 636,965 : x
  2. Step 2: Convert to fraction form
    302,800/636,965 = 636,965/x
  3. Step 3: Cross multiply
    302,800x = 636,965 × 636,965
  4. Step 4: Simplify right side
    302,800x = 405,724,411,225
  5. Step 5: Solve for x
    x = 405,724,411,225/302,800
  6. Step 6: Final answer
    x = 1,339,908.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.