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Finding the Third Proportional to 10,200,906 and 21,553,193

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Solution

The third proportional to 10,200,906 and 21,553,193 is: 45,539,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200,906 : 21,553,193 = 21,553,193 : x
  2. Step 2: Convert to fraction form
    10,200,906/21,553,193 = 21,553,193/x
  3. Step 3: Cross multiply
    10,200,906x = 21,553,193 × 21,553,193
  4. Step 4: Simplify right side
    10,200,906x = 464,540,128,495,249
  5. Step 5: Solve for x
    x = 464,540,128,495,249/10,200,906
  6. Step 6: Final answer
    x = 45,539,104.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.