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Finding the Third Proportional to 8,400,764 and 18,321,960

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Solution

The third proportional to 8,400,764 and 18,321,960 is: 39,959,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400,764 : 18,321,960 = 18,321,960 : x
  2. Step 2: Convert to fraction form
    8,400,764/18,321,960 = 18,321,960/x
  3. Step 3: Cross multiply
    8,400,764x = 18,321,960 × 18,321,960
  4. Step 4: Simplify right side
    8,400,764x = 335,694,218,241,600
  5. Step 5: Solve for x
    x = 335,694,218,241,600/8,400,764
  6. Step 6: Final answer
    x = 39,959,962.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.