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Finding the Third Proportional to 300,114.28 and 457,791.75

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Solution

The third proportional to 300,114.28 and 457,791.75 is: 698,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,114.28 : 457,791.75 = 457,791.75 : x
  2. Step 2: Convert to fraction form
    300,114.28/457,791.75 = 457,791.75/x
  3. Step 3: Cross multiply
    300,114.28x = 457,791.75 × 457,791.75
  4. Step 4: Simplify right side
    300,114.28x = 209,573,286,368.06
  5. Step 5: Solve for x
    x = 209,573,286,368.06/300,114.28
  6. Step 6: Final answer
    x = 698,311.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.