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Finding the Third Proportional to 401,709.38 and 836,709.75

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Solution

The third proportional to 401,709.38 and 836,709.75 is: 1,742,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,709.38 : 836,709.75 = 836,709.75 : x
  2. Step 2: Convert to fraction form
    401,709.38/836,709.75 = 836,709.75/x
  3. Step 3: Cross multiply
    401,709.38x = 836,709.75 × 836,709.75
  4. Step 4: Simplify right side
    401,709.38x = 700,083,205,745.06
  5. Step 5: Solve for x
    x = 700,083,205,745.06/401,709.38
  6. Step 6: Final answer
    x = 1,742,760.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.