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Finding the Third Proportional to 30,940,326 and 65,568,844.50

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Solution

The third proportional to 30,940,326 and 65,568,844.50 is: 138,953,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940,326 : 65,568,844.50 = 65,568,844.50 : x
  2. Step 2: Convert to fraction form
    30,940,326/65,568,844.50 = 65,568,844.50/x
  3. Step 3: Cross multiply
    30,940,326x = 65,568,844.50 × 65,568,844.50
  4. Step 4: Simplify right side
    30,940,326x = 4,299,273,369,065,180
  5. Step 5: Solve for x
    x = 4,299,273,369,065,180/30,940,326
  6. Step 6: Final answer
    x = 138,953,719.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.