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Finding the Third Proportional to 3,489,896.81 and 5,238,538.31

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Solution

The third proportional to 3,489,896.81 and 5,238,538.31 is: 7,863,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,896.81 : 5,238,538.31 = 5,238,538.31 : x
  2. Step 2: Convert to fraction form
    3,489,896.81/5,238,538.31 = 5,238,538.31/x
  3. Step 3: Cross multiply
    3,489,896.81x = 5,238,538.31 × 5,238,538.31
  4. Step 4: Simplify right side
    3,489,896.81x = 27,442,283,651,530.35
  5. Step 5: Solve for x
    x = 27,442,283,651,530.35/3,489,896.81
  6. Step 6: Final answer
    x = 7,863,351.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.