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Finding the Third Proportional to 302,919.75 and 637,227

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Solution

The third proportional to 302,919.75 and 637,227 is: 1,340,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,919.75 : 637,227 = 637,227 : x
  2. Step 2: Convert to fraction form
    302,919.75/637,227 = 637,227/x
  3. Step 3: Cross multiply
    302,919.75x = 637,227 × 637,227
  4. Step 4: Simplify right side
    302,919.75x = 406,058,249,529
  5. Step 5: Solve for x
    x = 406,058,249,529/302,919.75
  6. Step 6: Final answer
    x = 1,340,481.26

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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.