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Finding the Third Proportional to 43,068,140 and 66,198,845

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Solution

The third proportional to 43,068,140 and 66,198,845 is: 101,752,410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,068,140 : 66,198,845 = 66,198,845 : x
  2. Step 2: Convert to fraction form
    43,068,140/66,198,845 = 66,198,845/x
  3. Step 3: Cross multiply
    43,068,140x = 66,198,845 × 66,198,845
  4. Step 4: Simplify right side
    43,068,140x = 4,382,287,079,334,025
  5. Step 5: Solve for x
    x = 4,382,287,079,334,025/43,068,140
  6. Step 6: Final answer
    x = 101,752,410.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.