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Finding the Third Proportional to 21,420,171 and 47,091,849

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Solution

The third proportional to 21,420,171 and 47,091,849 is: 103,530,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420,171 : 47,091,849 = 47,091,849 : x
  2. Step 2: Convert to fraction form
    21,420,171/47,091,849 = 47,091,849/x
  3. Step 3: Cross multiply
    21,420,171x = 47,091,849 × 47,091,849
  4. Step 4: Simplify right side
    21,420,171x = 2,217,642,242,238,801
  5. Step 5: Solve for x
    x = 2,217,642,242,238,801/21,420,171
  6. Step 6: Final answer
    x = 103,530,557.35

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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.