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Finding the Third Proportional to 380,884 and 557,305.50

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Solution

The third proportional to 380,884 and 557,305.50 is: 815,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,884 : 557,305.50 = 557,305.50 : x
  2. Step 2: Convert to fraction form
    380,884/557,305.50 = 557,305.50/x
  3. Step 3: Cross multiply
    380,884x = 557,305.50 × 557,305.50
  4. Step 4: Simplify right side
    380,884x = 310,589,420,330.25
  5. Step 5: Solve for x
    x = 310,589,420,330.25/380,884
  6. Step 6: Final answer
    x = 815,443.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.