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Finding the Third Proportional to 121,745,866 and 269,741,780

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Solution

The third proportional to 121,745,866 and 269,741,780 is: 597,643,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,745,866 : 269,741,780 = 269,741,780 : x
  2. Step 2: Convert to fraction form
    121,745,866/269,741,780 = 269,741,780/x
  3. Step 3: Cross multiply
    121,745,866x = 269,741,780 × 269,741,780
  4. Step 4: Simplify right side
    121,745,866x = 72,760,627,877,568,400
  5. Step 5: Solve for x
    x = 72,760,627,877,568,400/121,745,866
  6. Step 6: Final answer
    x = 597,643,519.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.