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Finding the Third Proportional to 290,892 and 449,304

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Solution

The third proportional to 290,892 and 449,304 is: 693,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,892 : 449,304 = 449,304 : x
  2. Step 2: Convert to fraction form
    290,892/449,304 = 449,304/x
  3. Step 3: Cross multiply
    290,892x = 449,304 × 449,304
  4. Step 4: Simplify right side
    290,892x = 201,874,084,416
  5. Step 5: Solve for x
    x = 201,874,084,416/290,892
  6. Step 6: Final answer
    x = 693,982.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.