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Finding the Third Proportional to 302,969 and 637,267

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Solution

The third proportional to 302,969 and 637,267 is: 1,340,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,969 : 637,267 = 637,267 : x
  2. Step 2: Convert to fraction form
    302,969/637,267 = 637,267/x
  3. Step 3: Cross multiply
    302,969x = 637,267 × 637,267
  4. Step 4: Simplify right side
    302,969x = 406,109,229,289
  5. Step 5: Solve for x
    x = 406,109,229,289/302,969
  6. Step 6: Final answer
    x = 1,340,431.63

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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.