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Finding the Third Proportional to 1,245,735,457.50 and 2,940,675,990

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Solution

The third proportional to 1,245,735,457.50 and 2,940,675,990 is: 6,941,742,908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,735,457.50 : 2,940,675,990 = 2,940,675,990 : x
  2. Step 2: Convert to fraction form
    1,245,735,457.50/2,940,675,990 = 2,940,675,990/x
  3. Step 3: Cross multiply
    1,245,735,457.50x = 2,940,675,990 × 2,940,675,990
  4. Step 4: Simplify right side
    1,245,735,457.50x = 8,647,575,278,162,480,128
  5. Step 5: Solve for x
    x = 8,647,575,278,162,480,128/1,245,735,457.50
  6. Step 6: Final answer
    x = 6,941,742,908.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.