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Finding the Third Proportional to 814,296.38 and 1,789,200.56

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Solution

The third proportional to 814,296.38 and 1,789,200.56 is: 3,931,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,296.38 : 1,789,200.56 = 1,789,200.56 : x
  2. Step 2: Convert to fraction form
    814,296.38/1,789,200.56 = 1,789,200.56/x
  3. Step 3: Cross multiply
    814,296.38x = 1,789,200.56 × 1,789,200.56
  4. Step 4: Simplify right side
    814,296.38x = 3,201,238,652,850.32
  5. Step 5: Solve for x
    x = 3,201,238,652,850.32/814,296.38
  6. Step 6: Final answer
    x = 3,931,294.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.