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Finding the Third Proportional to 20,926.50 and 31,435.50

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Solution

The third proportional to 20,926.50 and 31,435.50 is: 47,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,926.50 : 31,435.50 = 31,435.50 : x
  2. Step 2: Convert to fraction form
    20,926.50/31,435.50 = 31,435.50/x
  3. Step 3: Cross multiply
    20,926.50x = 31,435.50 × 31,435.50
  4. Step 4: Simplify right side
    20,926.50x = 988,190,660.25
  5. Step 5: Solve for x
    x = 988,190,660.25/20,926.50
  6. Step 6: Final answer
    x = 47,221.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.