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Finding the Third Proportional to 285,122.25 and 441,435.75

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Solution

The third proportional to 285,122.25 and 441,435.75 is: 683,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,122.25 : 441,435.75 = 441,435.75 : x
  2. Step 2: Convert to fraction form
    285,122.25/441,435.75 = 441,435.75/x
  3. Step 3: Cross multiply
    285,122.25x = 441,435.75 × 441,435.75
  4. Step 4: Simplify right side
    285,122.25x = 194,865,521,378.06
  5. Step 5: Solve for x
    x = 194,865,521,378.06/285,122.25
  6. Step 6: Final answer
    x = 683,445.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.