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Finding the Third Proportional to 301,827 and 408,452

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Solution

The third proportional to 301,827 and 408,452 is: 552,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,827 : 408,452 = 408,452 : x
  2. Step 2: Convert to fraction form
    301,827/408,452 = 408,452/x
  3. Step 3: Cross multiply
    301,827x = 408,452 × 408,452
  4. Step 4: Simplify right side
    301,827x = 166,833,036,304
  5. Step 5: Solve for x
    x = 166,833,036,304/301,827
  6. Step 6: Final answer
    x = 552,743.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.