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Finding the Third Proportional to 20,936,674 and 31,509,843

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Solution

The third proportional to 20,936,674 and 31,509,843 is: 47,422,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,936,674 : 31,509,843 = 31,509,843 : x
  2. Step 2: Convert to fraction form
    20,936,674/31,509,843 = 31,509,843/x
  3. Step 3: Cross multiply
    20,936,674x = 31,509,843 × 31,509,843
  4. Step 4: Simplify right side
    20,936,674x = 992,870,205,884,649
  5. Step 5: Solve for x
    x = 992,870,205,884,649/20,936,674
  6. Step 6: Final answer
    x = 47,422,537.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.