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Finding the Third Proportional to 384,311.25 and 547,458.75

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Solution

The third proportional to 384,311.25 and 547,458.75 is: 779,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,311.25 : 547,458.75 = 547,458.75 : x
  2. Step 2: Convert to fraction form
    384,311.25/547,458.75 = 547,458.75/x
  3. Step 3: Cross multiply
    384,311.25x = 547,458.75 × 547,458.75
  4. Step 4: Simplify right side
    384,311.25x = 299,711,082,951.56
  5. Step 5: Solve for x
    x = 299,711,082,951.56/384,311.25
  6. Step 6: Final answer
    x = 779,865.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.