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Finding the Third Proportional to 302,972 and 636,400

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Solution

The third proportional to 302,972 and 636,400 is: 1,336,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,972 : 636,400 = 636,400 : x
  2. Step 2: Convert to fraction form
    302,972/636,400 = 636,400/x
  3. Step 3: Cross multiply
    302,972x = 636,400 × 636,400
  4. Step 4: Simplify right side
    302,972x = 405,004,960,000
  5. Step 5: Solve for x
    x = 405,004,960,000/302,972
  6. Step 6: Final answer
    x = 1,336,773.56

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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.