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Finding the Third Proportional to 378,535.75 and 581,836.75

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Solution

The third proportional to 378,535.75 and 581,836.75 is: 894,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,535.75 : 581,836.75 = 581,836.75 : x
  2. Step 2: Convert to fraction form
    378,535.75/581,836.75 = 581,836.75/x
  3. Step 3: Cross multiply
    378,535.75x = 581,836.75 × 581,836.75
  4. Step 4: Simplify right side
    378,535.75x = 338,534,003,650.56
  5. Step 5: Solve for x
    x = 338,534,003,650.56/378,535.75
  6. Step 6: Final answer
    x = 894,325.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.