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Finding the Third Proportional to 384,378.75 and 816,056.44

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Solution

The third proportional to 384,378.75 and 816,056.44 is: 1,732,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,378.75 : 816,056.44 = 816,056.44 : x
  2. Step 2: Convert to fraction form
    384,378.75/816,056.44 = 816,056.44/x
  3. Step 3: Cross multiply
    384,378.75x = 816,056.44 × 816,056.44
  4. Step 4: Simplify right side
    384,378.75x = 665,948,109,185.19
  5. Step 5: Solve for x
    x = 665,948,109,185.19/384,378.75
  6. Step 6: Final answer
    x = 1,732,531.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.