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Finding the Third Proportional to 10,913,843.25 and 18,188,644.50

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Solution

The third proportional to 10,913,843.25 and 18,188,644.50 is: 30,312,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913,843.25 : 18,188,644.50 = 18,188,644.50 : x
  2. Step 2: Convert to fraction form
    10,913,843.25/18,188,644.50 = 18,188,644.50/x
  3. Step 3: Cross multiply
    10,913,843.25x = 18,188,644.50 × 18,188,644.50
  4. Step 4: Simplify right side
    10,913,843.25x = 330,826,788,747,380.25
  5. Step 5: Solve for x
    x = 330,826,788,747,380.25/10,913,843.25
  6. Step 6: Final answer
    x = 30,312,583.86

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.