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Finding the Third Proportional to 377,682.75 and 811,270.69

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Solution

The third proportional to 377,682.75 and 811,270.69 is: 1,742,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,682.75 : 811,270.69 = 811,270.69 : x
  2. Step 2: Convert to fraction form
    377,682.75/811,270.69 = 811,270.69/x
  3. Step 3: Cross multiply
    377,682.75x = 811,270.69 × 811,270.69
  4. Step 4: Simplify right side
    377,682.75x = 658,160,128,396.72
  5. Step 5: Solve for x
    x = 658,160,128,396.72/377,682.75
  6. Step 6: Final answer
    x = 1,742,626.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.