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Finding the Third Proportional to 21,420,169 and 47,091,845

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Solution

The third proportional to 21,420,169 and 47,091,845 is: 103,530,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420,169 : 47,091,845 = 47,091,845 : x
  2. Step 2: Convert to fraction form
    21,420,169/47,091,845 = 47,091,845/x
  3. Step 3: Cross multiply
    21,420,169x = 47,091,845 × 47,091,845
  4. Step 4: Simplify right side
    21,420,169x = 2,217,641,865,504,025
  5. Step 5: Solve for x
    x = 2,217,641,865,504,025/21,420,169
  6. Step 6: Final answer
    x = 103,530,549.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.