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Finding the Third Proportional to 320,496 and 464,208

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Solution

The third proportional to 320,496 and 464,208 is: 672,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,496 : 464,208 = 464,208 : x
  2. Step 2: Convert to fraction form
    320,496/464,208 = 464,208/x
  3. Step 3: Cross multiply
    320,496x = 464,208 × 464,208
  4. Step 4: Simplify right side
    320,496x = 215,489,067,264
  5. Step 5: Solve for x
    x = 215,489,067,264/320,496
  6. Step 6: Final answer
    x = 672,361.18

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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.