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Finding the Third Proportional to 840,648.38 and 1,338,290.44

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Solution

The third proportional to 840,648.38 and 1,338,290.44 is: 2,130,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,648.38 : 1,338,290.44 = 1,338,290.44 : x
  2. Step 2: Convert to fraction form
    840,648.38/1,338,290.44 = 1,338,290.44/x
  3. Step 3: Cross multiply
    840,648.38x = 1,338,290.44 × 1,338,290.44
  4. Step 4: Simplify right side
    840,648.38x = 1,791,021,295,103.94
  5. Step 5: Solve for x
    x = 1,791,021,295,103.94/840,648.38
  6. Step 6: Final answer
    x = 2,130,523.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.