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Finding the Third Proportional to 9,781,198.50 and 21,451,965

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Solution

The third proportional to 9,781,198.50 and 21,451,965 is: 47,048,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781,198.50 : 21,451,965 = 21,451,965 : x
  2. Step 2: Convert to fraction form
    9,781,198.50/21,451,965 = 21,451,965/x
  3. Step 3: Cross multiply
    9,781,198.50x = 21,451,965 × 21,451,965
  4. Step 4: Simplify right side
    9,781,198.50x = 460,186,802,361,225
  5. Step 5: Solve for x
    x = 460,186,802,361,225/9,781,198.50
  6. Step 6: Final answer
    x = 47,048,099.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.