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Finding the Third Proportional to 10,450,296.84 and 21,853,449.84

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Solution

The third proportional to 10,450,296.84 and 21,853,449.84 is: 45,699,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450,296.84 : 21,853,449.84 = 21,853,449.84 : x
  2. Step 2: Convert to fraction form
    10,450,296.84/21,853,449.84 = 21,853,449.84/x
  3. Step 3: Cross multiply
    10,450,296.84x = 21,853,449.84 × 21,853,449.84
  4. Step 4: Simplify right side
    10,450,296.84x = 477,573,270,073,296.88
  5. Step 5: Solve for x
    x = 477,573,270,073,296.88/10,450,296.84
  6. Step 6: Final answer
    x = 45,699,493.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.