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Finding the Third Proportional to 10,444 and 22,793.50

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Solution

The third proportional to 10,444 and 22,793.50 is: 49,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444 : 22,793.50 = 22,793.50 : x
  2. Step 2: Convert to fraction form
    10,444/22,793.50 = 22,793.50/x
  3. Step 3: Cross multiply
    10,444x = 22,793.50 × 22,793.50
  4. Step 4: Simplify right side
    10,444x = 519,543,642.25
  5. Step 5: Solve for x
    x = 519,543,642.25/10,444
  6. Step 6: Final answer
    x = 49,745.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.