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Finding the Third Proportional to 1,348,933,338 and 2,023,393,324.50

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Solution

The third proportional to 1,348,933,338 and 2,023,393,324.50 is: 3,035,079,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,933,338 : 2,023,393,324.50 = 2,023,393,324.50 : x
  2. Step 2: Convert to fraction form
    1,348,933,338/2,023,393,324.50 = 2,023,393,324.50/x
  3. Step 3: Cross multiply
    1,348,933,338x = 2,023,393,324.50 × 2,023,393,324.50
  4. Step 4: Simplify right side
    1,348,933,338x = 4,094,120,545,631,162,368
  5. Step 5: Solve for x
    x = 4,094,120,545,631,162,368/1,348,933,338
  6. Step 6: Final answer
    x = 3,035,079,963.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.