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Finding the Third Proportional to 121,119,340.50 and 262,682,757

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Solution

The third proportional to 121,119,340.50 and 262,682,757 is: 569,704,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,119,340.50 : 262,682,757 = 262,682,757 : x
  2. Step 2: Convert to fraction form
    121,119,340.50/262,682,757 = 262,682,757/x
  3. Step 3: Cross multiply
    121,119,340.50x = 262,682,757 × 262,682,757
  4. Step 4: Simplify right side
    121,119,340.50x = 69,002,230,825,121,048
  5. Step 5: Solve for x
    x = 69,002,230,825,121,048/121,119,340.50
  6. Step 6: Final answer
    x = 569,704,479.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.