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Finding the Third Proportional to 320,509 and 464,227

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Solution

The third proportional to 320,509 and 464,227 is: 672,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,509 : 464,227 = 464,227 : x
  2. Step 2: Convert to fraction form
    320,509/464,227 = 464,227/x
  3. Step 3: Cross multiply
    320,509x = 464,227 × 464,227
  4. Step 4: Simplify right side
    320,509x = 215,506,707,529
  5. Step 5: Solve for x
    x = 215,506,707,529/320,509
  6. Step 6: Final answer
    x = 672,388.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.